1s1 = 1(1!/1!)
2s1 = 2(1!/1!)
2s2 = 2(2!/2!)+1(2!/1!)
2s3 = 2(3!/3!)+2(3!/2!)
2S4 = 2(4!/4!)+2(4!/3!)+1(4!/2!2!)
3s1 = 3(1!/1!)
3s2 = 3(2!/2!)+3(2!/1!)
3S3 = 3(3!/3!)+6(3!/2!)+1(3!/1!)
3S4 = 3(4!/4!)+6(4!/3!)+3(4!/2!2!)+3(4!/2!)
4s1 = 4(1!/1!)
4S2 = 4(2!/2!)+6(2!/1!)
4S3 = 4(3!/3!)+12(3!/2!)+4(3!/1!)
4S4 = 4(4!/4!)+12(4!/3!)+6(4!/2!2!)+12(4!/2!)+1(4!/1!)