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A000425
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Coefficients of menage hit polynomials.
(Formerly M4507 N1908)
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8
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2, 0, 0, 8, 30, 192, 1344, 10800, 97434, 976000, 10749024, 129103992, 1679495350, 23525384064, 353028802560, 5650370001120, 96082828074162, 1729886440780800, 32874134679574208, 657589108734075240, 13811277748363437006, 303884178002526338624
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 197.
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).
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FORMULA
| It appears that a(n) = round(4*n*exp(-2)*(BesselK(n-1,2)+BesselK(n,2))) when n >= 10. Mark van Hoeij, Oct 25 2011.
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CROSSREFS
| A diagonal of A058087. Cf. A000179.
Sequence in context: A058547 A134414 A113036 * A181499 A010893 A181501
Adjacent sequences: A000422 A000423 A000424 * A000426 A000427 A000428
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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