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- Study of A185310 and A188965: Looking for the
- structural relationship among the possible versions
- of both sequences where they are comparable.
- (Proposed by: R. J. Cano, Dec 29 2012)
- About the following table:
- Please, compare here the left offset 10 with the right offset 13. Then jump
- below to 519 and 521 for both offsets, There it guess some kind of algorithm
- structuring an hypotethical relationship among the different versions for
- this sequence obtained by the change in the radix or base used depending
- on the quantity of objects that must be permuted (If each one is represented
- by a single digit).
- =======================================================
- n or # a188569(n) a188569(n) n or #
- Offset Data: 10!-1 Data: 13!-1 Offset
- (left) (Right)
- =======================================================
- 1 1 1 1
- 2 20 20 2
- 3 300 300 3
- 4 4000 4000 4
- 5 50000 50000 5
- 6 600000 600000 6
- 7 7000000 7000000 7
- 8 80000000 80000000 8
- 9 900000000 900000000 9
- -----------------------------------------------------
- 10 1 10000000000 10
- 11 -900000000 110000000000 11
- 12 -80000000 1200000000000 12
- 13 -7000000 1 13
- 14 -600000 -1200000000000 14
- 15 -50000 -110000000000 15
- 16 -4000 -10000000000 16
- 17 -300 -900000000 17
- 18 -10 -80000000 18
- 19 -2 -7000000 19
- 20 200 -600000 20
- 21 2 -50000 21
- 22 30 -4000 22
- 23 100 -300 23
- 24 4000 -10 24
- 25 50000 -2 25
- 26 600000 200 26
- 27 7000000 2 27
- 28 80000000 30 28
- 29 900000000 100 29
- 30 300 4000 30
- 31 -900000000 50000 31
- 32 -80000000 600000 32
- 33 -7000000 7000000 33
- 34 -600000 80000000 34
- 35 -50000 900000000 35
- 36 -1000 10000000000 36
- 37 -400 110000000000 37
- 38 -30 1200000000000 38
- 39 -2 300 39
- 40 40000 -1200000000000 40
- 41 2 -110000000000 41
- 42 30 -10000000000 42
- 43 400 -900000000 43
- 44 5000 -80000000 44
- 45 10000 -7000000 45
- 46 600000 -600000 46
- 47 7000000 -50000 47
- 48 80000000 -1000 48
- 49 900000000 -400 49
- 50 50000 -30 50
- 51 -900000000 -2 51
- 52 -80000000 40000 52
- 53 -7000000 2 53
- 54 -100000 30 54
- 55 -60000 400 55
- 56 -5000 5000 56
- 57 -400 10000 57
- 58 -30 600000 58
- 59 -2 7000000 59
- 60 6000000 80000000 60
- 61 2 900000000 61
- 62 30 10000000000 62
- 63 400 110000000000 63
- 64 5000 1200000000000 64
- 65 60000 50000 65
- 66 700000 -1200000000000 66
- 67 1000000 -110000000000 67
- 68 80000000 -10000000000 68
- 69 900000000 -900000000 69
- 70 7000000 -80000000 70
- 71 -900000000 -7000000 71
- 72 -10000000 -100000 72
- 73 -8000000 -60000 73
- 74 -700000 -5000 74
- 75 -60000 -400 75
- 76 -5000 -30 76
- 77 -400 -2 77
- 78 -30 6000000 78
- 79 -2 2 79
- 80 800000000 30 80
- 81 2 400 81
- 82 30 5000 82
- 83 400 60000 83
- 84 5000 700000 84
- 85 60000 1000000 85
- 86 700000 80000000 86
- 87 8000000 900000000 87
- 88 90000000 10000000000 88
- 89 100000000 110000000000 89
- 90 1 1200000000000 90
- 91 -100000000 4000000 91
- 92 -90000000 -1200000000000 92
- 93 -8000000 -110000000000 93
- 94 -700000 -10000000000 94
- 95 -60000 -900000000 95
- 96 -5000 -10000000 96
- 97 -400 -5000000 97
- 98 -20 -700000 98
- 99 -3 -60000 99
- 100 -800000000 -5000 100
- 101 3 -400 101
- 102 20 -30 102
- 103 400 -2 103
- 104 5000 800000000 104
- 105 60000 2 105
- 106 700000 30 106
- 107 8000000 400 107
- 108 10000000 5000 108
- 109 900000000 60000 109
- 110 -7000000 700000 110
- 111 -900000000 5000000 111
- 112 -80000000 60000000 112
- 113 -1000000 100000000 113
- 114 -700000 10000000000 114
- 115 -60000 110000000000 115
- 116 -5000 1200000000000 116
- 117 -400 600000000 117
- 118 -20 -1200000000000 118
- 119 -3 -110000000000 119
- 120 -6000000 -1000000000 120
- 121 3 -700000000 121
- 122 20 -60000000 122
- 123 400 -5000000 123
- 124 5000 -700000 124
- 125 60000 -60000 125
- 126 100000 -5000 126
- 127 7000000 -400 127
- 128 80000000 -30 128
- 129 900000000 -2 129
- 130 -50000 100000000000 130
- 131 -900000000 2 131
- 132 -80000000 30 132
- 133 -7000000 400 133
- 134 -600000 5000 134
- 135 -10000 60000 135
- 136 -5000 700000 136
- 137 -400 5000000 137
- 138 -20 60000000 138
- 139 -3 700000000 139
- 140 -40000 8000000000 140
- 141 3 10000000000 141
- 142 20 1200000000000 142
- 143 400 -220000000000 143
- 144 1000 200000000000 144
- 145 50000 -90000000000 145
- 146 600000 -8000000000 146
- 147 7000000 -700000000 147
- 148 80000000 -60000000 148
- 149 900000000 -5000000 149
- 150 -300 -700000 150
- 151 -900000000 -60000 151
- 152 -80000000 -5000 152
- 153 -7000000 -400 153
- 154 -600000 -30 154
- 155 -50000 -2 155
- 156 -4000 10 156
- 157 -100 3 157
- 158 -20 20 158
- 159 -3 400 159
- 160 -100 5000 160
- 161 3 60000 161
- 162 10 700000 162
- 163 200 5000000 163
- 164 4000 60000000 164
- 165 50000 700000000 165
- 166 600000 8000000000 166
- 167 7000000 90000000000 167
- 168 80000000 -200000000000 168
- 169 900000000 220000000000 169
- 170 -2 -1200000000000 170
- 171 -900000000 -10000000000 171
- 172 -80000000 -8000000000 172
- 173 -7000000 -700000000 173
- 174 -600000 -60000000 174
- 175 -50000 -5000000 175
- 176 -4000 -700000 176
- 177 -200 -60000 177
- 178 -30 -5000 178
- 179 -1 -400 179
- 180 2000 -20 180
- 181 1 -3 181
- 182 30 -100000000000 182
- 183 400 3 183
- 184 2000 20 184
- 185 50000 400 185
- 186 600000 5000 186
- 187 7000000 60000 187
- 188 80000000 700000 188
- 189 900000000 5000000 189
- 190 2 60000000 190
- 191 -900000000 700000000 191
- 192 -80000000 1000000000 192
- 193 -7000000 110000000000 193
- 194 -600000 1200000000000 194
- 195 -50000 -600000000 195
- 196 -2000 -1200000000000 196
- 197 -400 -110000000000 197
- 198 -10 -10000000000 198
- 199 -3 -100000000 199
- 200 300 -60000000 200
- 201 3 -5000000 201
- 202 40 -700000 202
- 203 100 -60000 203
- 204 2000 -5000 204
- 205 50000 -400 205
- 206 600000 -20 206
- 207 7000000 -3 207
- 208 80000000 -800000000 208
- 209 900000000 3 209
- 210 100 20 210
- 211 -900000000 400 211
- 212 -80000000 5000 212
- 213 -7000000 60000 213
- 214 -600000 700000 214
- 215 -50000 5000000 215
- 216 -1000 10000000 216
- 217 -200 900000000 217
- 218 -40 10000000000 218
- 219 -3 110000000000 219
- 220 40000 1200000000000 220
- 221 3 -4000000 221
- 222 40 -1200000000000 222
- 223 200 -110000000000 223
- 224 5000 -10000000000 224
- 225 10000 -900000000 225
- 226 600000 -80000000 226
- 227 7000000 -1000000 227
- 228 80000000 -700000 228
- 229 900000000 -60000 229
- 230 50000 -5000 230
- 231 -900000000 -400 231
- 232 -80000000 -20 232
- 233 -7000000 -3 233
- 234 -100000 -6000000 234
- 235 -60000 3 235
- 236 -5000 20 236
- 237 -200 400 237
- 238 -40 5000 238
- 239 -3 60000 239
- 240 6000000 100000 240
- 241 3 7000000 241
- 242 40 80000000 242
- 243 200 900000000 243
- 244 5000 10000000000 244
- 245 60000 110000000000 245
- 246 700000 1200000000000 246
- 247 1000000 -50000 247
- 248 80000000 -1200000000000 248
- 249 900000000 -110000000000 249
- 250 7000000 -10000000000 250
- 251 -900000000 -900000000 251
- 252 -10000000 -80000000 252
- 253 -8000000 -7000000 253
- 254 -700000 -600000 254
- 255 -60000 -10000 255
- 256 -5000 -5000 256
- 257 -200 -400 257
- 258 -40 -20 258
- 259 -3 -3 259
- 260 800000000 -40000 260
- 261 3 3 261
- 262 40 20 262
- 263 200 400 263
- 264 5000 1000 264
- 265 60000 50000 265
- 266 700000 600000 266
- 267 8000000 7000000 267
- 268 90000000 80000000 268
- 269 100000000 900000000 269
- 270 300 10000000000 270
- 271 -100000000 110000000000 271
- 272 -90000000 1200000000000 272
- 273 -8000000 -300 273
- 274 -700000 -1200000000000 274
- 275 -60000 -110000000000 275
- 276 -2000 -10000000000 276
- 277 -500 -900000000 277
- 278 -40 -80000000 278
- 279 -3 -7000000 279
- 280 -800000000 -600000 280
- 281 3 -50000 281
- 282 40 -4000 282
- 283 500 -100 283
- 284 2000 -20 284
- 285 60000 -3 285
- 286 700000 -100 286
- 287 8000000 3 287
- 288 10000000 10 288
- 289 900000000 200 289
- 290 -7000000 4000 290
- 291 -900000000 50000 291
- 292 -80000000 600000 292
- 293 -1000000 7000000 293
- 294 -700000 80000000 294
- 295 -60000 900000000 295
- 296 -2000 10000000000 296
- 297 -500 110000000000 297
- 298 -40 1200000000000 298
- 299 -3 -2 299
- 300 -6000000 -1200000000000 300
- 301 3 -110000000000 301
- 302 40 -10000000000 302
- 303 500 -900000000 303
- 304 2000 -80000000 304
- 305 60000 -7000000 305
- 306 100000 -600000 306
- 307 7000000 -50000 307
- 308 80000000 -4000 308
- 309 900000000 -200 309
- 310 -50000 -30 310
- 311 -900000000 -1 311
- 312 -80000000 2000 312
- 313 -7000000 1 313
- 314 -600000 30 314
- 315 -10000 400 315
- 316 -2000 2000 316
- 317 -500 50000 317
- 318 -40 600000 318
- 319 -3 7000000 319
- 320 -10000 80000000 320
- 321 3 900000000 321
- 322 40 10000000000 322
- 323 500 110000000000 323
- 324 1000 1200000000000 324
- 325 20000 2 325
- 326 600000 -1200000000000 326
- 327 7000000 -110000000000 327
- 328 80000000 -10000000000 328
- 329 900000000 -900000000 329
- 330 -400 -80000000 330
- 331 -900000000 -7000000 331
- 332 -80000000 -600000 332
- 333 -7000000 -50000 333
- 334 -600000 -2000 334
- 335 -20000 -400 335
- 336 -5000 -10 336
- 337 -100 -3 337
- 338 -40 300 338
- 339 -3 3 339
- 340 -300 40 340
- 341 3 100 341
- 342 10 2000 342
- 343 400 50000 343
- 344 5000 600000 344
- 345 20000 7000000 345
- 346 600000 80000000 346
- 347 7000000 900000000 347
- 348 80000000 10000000000 348
- 349 900000000 110000000000 349
- 350 -2 1200000000000 350
- 351 -900000000 100 351
- 352 -80000000 -1200000000000 352
- 353 -7000000 -110000000000 353
- 354 -600000 -10000000000 354
- 355 -20000 -900000000 355
- 356 -5000 -80000000 356
- 357 -400 -7000000 357
- 358 -30 -600000 358
- 359 -1 -50000 359
- 360 400000 -1000 360
- 361 1 -200 361
- 362 30 -40 362
- 363 400 -3 363
- 364 5000 40000 364
- 365 60000 3 365
- 366 200000 40 366
- 367 7000000 200 367
- 368 80000000 5000 368
- 369 900000000 10000 369
- 370 2 600000 370
- 371 -900000000 7000000 371
- 372 -80000000 80000000 372
- 373 -7000000 900000000 373
- 374 -200000 10000000000 374
- 375 -60000 110000000000 375
- 376 -5000 1200000000000 376
- 377 -400 50000 377
- 378 -10 -1200000000000 378
- 379 -3 -110000000000 379
- 380 300 -10000000000 380
- 381 3 -900000000 381
- 382 40 -80000000 382
- 383 100 -7000000 383
- 384 5000 -100000 384
- 385 60000 -60000 385
- 386 200000 -5000 386
- 387 7000000 -200 387
- 388 80000000 -40 388
- 389 900000000 -3 389
- 390 400 6000000 390
- 391 -900000000 3 391
- 392 -80000000 40 392
- 393 -7000000 200 393
- 394 -200000 5000 394
- 395 -60000 60000 395
- 396 -1000 700000 396
- 397 -500 1000000 397
- 398 -40 80000000 398
- 399 -3 900000000 399
- 400 50000 10000000000 400
- 401 3 110000000000 401
- 402 40 1200000000000 402
- 403 500 4000000 403
- 404 6000 -1200000000000 404
- 405 10000 -110000000000 405
- 406 200000 -10000000000 406
- 407 7000000 -900000000 407
- 408 80000000 -10000000 408
- 409 900000000 -5000000 409
- 410 10000 -700000 410
- 411 -900000000 -60000 411
- 412 -80000000 -5000 412
- 413 -7000000 -200 413
- 414 -100000 -40 414
- 415 -20000 -3 415
- 416 -6000 800000000 416
- 417 -500 3 417
- 418 -40 40 418
- 419 -3 200 419
- 420 6000000 5000 420
- 421 3 60000 421
- 422 40 700000 422
- 423 500 5000000 423
- 424 6000 60000000 424
- 425 20000 100000000 425
- 426 700000 10000000000 426
- 427 1000000 110000000000 427
- 428 80000000 1200000000000 428
- 429 900000000 600000000 429
- 430 7000000 -1200000000000 430
- 431 -900000000 -110000000000 431
- 432 -10000000 -1000000000 432
- 433 -8000000 -700000000 433
- 434 -700000 -60000000 434
- 435 -20000 -5000000 435
- 436 -6000 -700000 436
- 437 -500 -60000 437
- 438 -40 -5000 438
- 439 -3 -200 439
- 440 800000000 -40 440
- 441 3 -3 441
- 442 40 100000000000 442
- 443 500 3 443
- 444 6000 40 444
- 445 20000 200 445
- 446 700000 5000 446
- 447 8000000 60000 447
- 448 90000000 700000 448
- 449 100000000 5000000 449
- 450 50000 60000000 450
- 451 -100000000 700000000 451
- 452 -90000000 8000000000 452
- 453 -8000000 10000000000 453
- 454 -200000 1200000000000 454
- 455 -70000 -220000000000 455
- 456 -6000 200000000000 456
- 457 -500 -90000000000 457
- 458 -40 -8000000000 458
- 459 -3 -700000000 459
- 460 -800000000 -60000000 460
- 461 3 -5000000 461
- 462 40 -700000 462
- 463 500 -60000 463
- 464 6000 -5000 464
- 465 70000 -200 465
- 466 200000 -40 466
- 467 8000000 -3 467
- 468 10000000 3000 468
- 469 900000000 3 469
- 470 -7000000 40 470
- 471 -900000000 500 471
- 472 -80000000 2000 472
- 473 -1000000 60000 473
- 474 -200000 700000 474
- 475 -70000 5000000 475
- 476 -6000 60000000 476
- 477 -500 700000000 477
- 478 -40 8000000000 478
- 479 -3 90000000000 479
- 480 -1000000 -200000000000 480
- 481 3 220000000000 481
- 482 40 -1200000000000 482
- 483 500 -10000000000 483
- 484 6000 -8000000000 484
- 485 70000 -700000000 485
- 486 100000 -60000000 486
- 487 2000000 -5000000 487
- 488 80000000 -700000 488
- 489 900000000 -60000 489
- 490 -60000 -2000 490
- 491 -900000000 -500 491
- 492 -80000000 -40 492
- 493 -2000000 -3 493
- 494 -700000 -100000000000 494
- 495 -10000 3 495
- 496 -6000 40 496
- 497 -500 500 497
- 498 -40 2000 498
- 499 -3 60000 499
- 500 -50000 700000 500
- 501 3 5000000 501
- 502 40 60000000 502
- 503 500 700000000 503
- 504 1000 1000000000 504
- 505 60000 110000000000 505
- 506 700000 1200000000000 506
- 507 2000000 -600000000 507
- 508 80000000 -1200000000000 508
- 509 900000000 -110000000000 509
- 510 -400 -10000000000 510
- 511 -900000000 -100000000 511
- 512 -80000000 -60000000 512
- 513 -2000000 -5000000 513
- 514 -700000 -700000 514
- 515 -60000 -60000 515
- 516 -5000 -2000 516
- 517 -100 -500 517
- 518 -40 -40 518
- 519 -3 -3 519
- 520 -300 -800000000 520
- 521 3 3 521
- 522 10 40 522
- 523 400 500 523
- 524 5000 2000 524
- 525 60000 60000 525
- 526 700000 700000 526
- 527 2000000 5000000 527
- 528 80000000 10000000 528
- 529 900000000 900000000 529
- 530 -2 10000000000 530
- 531 -900000000 110000000000 531
- 532 -80000000 1200000000000 532
- 533 -2000000 -4000000 533
- 534 -700000 -1200000000000 534
- 535 -60000 -110000000000 535
- 536 -5000 -10000000000 536
- 537 -400 -900000000 537
- 538 -30 -80000000 538
- 539 -1 -1000000 539
- 540 60000000 -700000 540
- 541 1 -60000 541
- 542 30 -2000 542
- 543 400 -500 543
- 544 5000 -40 544
- 545 60000 -3 545
- 546 700000 -6000000 546
- 547 8000000 3 547
- 548 20000000 40 548
- 549 900000000 500 549
- 550 2 2000 550
- About the preceding table:
- Please, compare here the left offset 10 with the right offset 13. Then jump
- below to 519 and 521 for both offsets, There it guess some kind of algorithm
- structuring an hypotethical relationship among the different versions for
- this sequence obtained by the change in the radix or base used depending
- on the quantity of objects that must be permuted (If each one is represented
- by a single digit).
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