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Search: id:A002539
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| A002539 |
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Number of permutations by descents.
(Formerly M5126 N2221)
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+0
5
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| 1, 22, 328, 4400, 58140, 785304, 11026296, 162186912, 2507481216, 40788301824, 697929436800, 12550904017920, 236908271543040, 4687098165573120
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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O. J. Munch, Om potensproduktsummer [ Norwegian, English summary ], Nordisk Matematisk Tidskrift, 7 (1959), 5-19.
I. Gessel and R. P. Stanley, Stirling polynomials, J. Combin. Theory, A 24 (1978), 24-33.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..100
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FORMULA
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a(n)= (n+4)*a(n-1) + n*A002538(n), n>=2. a(1)=1.
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CROSSREFS
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3rd diagonal of A008517, third column of A112007.
Sequence in context: A025941 A125479 A047868 this_sequence A019958 A021644 A021834
Adjacent sequences: A002536 A002537 A002538 this_sequence A002540 A002541 A002542
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KEYWORD
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nonn,nice,easy
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AUTHOR
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njas, Simon Plouffe, Robert G. Wilson v (rgwv(AT)rgwv.com), Mira Bernstein (mira(AT)math.berkeley.edu)
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