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 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 (list; graph; refs; listen; history; text; internal format)
 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 cross-referenced 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 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: A220138 A146975 A046970 * A002017 A118582 A086179 Adjacent sequences:  A058933 A058934 A058935 * A058937 A058938 A058939 KEYWORD nonn AUTHOR Alford Arnold, Jan 11 2001 STATUS approved

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