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A000426
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Coefficients of menage hit polynomials.
(Formerly M4515 N1910)
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3
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0, 1, 1, 1, 8, 35, 211, 1459, 11584, 103605, 1030805, 11291237, 135015896, 1749915271, 24435107047, 365696282855, 5839492221440, 99096354764009, 1780930394412009, 33789956266629001, 674939337282352360, 14157377139256183723
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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REFERENCES
| J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 198.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
H. M. Taylor, A problem on arrangements, Mess. Math., 32 (1902), 60ff.
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LINKS
| David W. Wilson, Table of n, a(n) for n = 1..100
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FORMULA
| a(n) = SUM(k = 2..n, ((-1)^k (2n-k-1)! (n-k)!)/((2n-2k)! (k-2)!))
a(n) = A000033(n)/n.
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MAPLE
| a(n) = ((2n-5)a(n-1) + (5n-11)a(n-2) + (5n-14)a(n-3) + (2n-5)a(n-4) + 2a(n-5))/2 for n >= 6.
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CROSSREFS
| Cf. A000179, A000271. A diagonal of A058057.
Sequence in context: A189599 A098999 A192257 * A200312 A089698 A133887
Adjacent sequences: A000423 A000424 A000425 * A000427 A000428 A000429
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com) and Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
| Edited by David W. Wilson, Dec 27 2007
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