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A058936
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Decomposition of Stirling's S(n,2) based on associated numeric partitions.
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1
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0, 1, 3, 8, 3, 30, 20, 144, 90, 40, 840, 504, 420, 5760, 3360, 2688, 1260
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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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.
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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.
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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].
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EXAMPLE
| After 0, in tabular form the sequence begins 1 3 8 30 144 840 5760 ... 3 20 90 504 3360 ... 40 420 2688 ...
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CROSSREFS
| Cf. A000012, A000035, A000027, A004526, A022003, A008619, A000217, A007997, A001399, A011765 A008620, A027656, A002620, A000292, A008627.
Sequence in context: A144457 A146975 A046970 * A002017 A118582 A086179
Adjacent sequences: A058933 A058934 A058935 * A058937 A058938 A058939
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KEYWORD
| nonn
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), Jan 11 2001
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