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Search: id:A001907
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| A001907 |
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Expansion of e^(-x)/(1-4x).
(Formerly M3112 N1261)
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+0
2
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| 1, 3, 25, 299, 4785, 95699, 2296777, 64309755, 2057912161, 74084837795, 2963393511801, 130389314519243, 6258687096923665, 325451729040030579, 18225296826241712425, 1093517809574502745499, 69985139812768175711937
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 83.
Michael Z. Spivey and Laura L. Steil, The k-Binomial Transforms and the Hankel Transform, Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.1.
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FORMULA
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Sum[k=0..n, (-1)^(n+k)*C(n, k)*k!*4^k]. - R. Stephan, May 22 2004
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PROGRAM
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(PARI) a(n)=sum(k=0, n, (-1)^(n+k)*binomial(n, k)*k!*4^k)
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CROSSREFS
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Cf. A000166, A000354, A000180, A001908.
Sequence in context: A126746 A118989 A123989 this_sequence A143635 A023997 A154961
Adjacent sequences: A001904 A001905 A001906 this_sequence A001908 A001909 A001910
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KEYWORD
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easy,nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from R. Stephan, May 22 2004
Typo fixed by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Oct 28 2009
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