

A058936


Decomposition of Stirling's S(n,2) based on associated numeric partitions.


1



0, 1, 3, 8, 3, 30, 20, 144, 90, 40, 840, 504, 420, 5760, 3360, 2688, 1260
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OFFSET

1,3


COMMENTS

These values also appear in a wider context when counting elements of finite groups by cycle structure. For example, the alternating group on four symbols has 12 elements; eight associated with the partition 3+1, three associated with 2+2 and the identity associated with 1+1+1+1. The crossreferenced sequences are all associated with similar numeric partitions and "M2" weights.


REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 831.


LINKS

Table of n, a(n) for n=1..17.
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].


EXAMPLE

After 0, in tabular form the sequence begins 1 3 8 30 144 840 5760 ... 3 20 90 504 3360 ... 40 420 2688 ...


CROSSREFS

Cf. A000012, A000035, A000027, A004526, A022003, A008619, A000217, A007997, A001399, A011765 A008620, A027656, A002620, A000292, A008627.
Sequence in context: A146975 A046970 A322360 * A280369 A280979 A281045
Adjacent sequences: A058933 A058934 A058935 * A058937 A058938 A058939


KEYWORD

nonn


AUTHOR

Alford Arnold, Jan 11 2001


STATUS

approved



