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Search: id:A000180
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| A000180 |
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Expansion of e^(-x)/(1-3x).
(Formerly M2063 N0816)
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+0
2
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| 1, 2, 13, 116, 1393, 20894, 376093, 7897952, 189550849, 5117872922, 153536187661, 5066694192812, 182400990941233, 7113638646708086, 298772823161739613, 13444777042278282584, 645349298029357564033, 32912814199497235765682
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 83.
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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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
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FORMULA
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a(n)=sum(k=0, n, (-1)^(n+k)*binomial(n, k)*k!*3^k) - Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 02 2003
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MATHEMATICA
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Table[ Gamma[ n, -1/3 ]*3^(n-1)/Exp[ 1/3 ], {n, 1, 24} ]; FunctionExpand[ % ]
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CROSSREFS
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Sequence in context: A088604 A127891 A110369 this_sequence A004122 A086630 A151361
Adjacent sequences: A000177 A000178 A000179 this_sequence A000181 A000182 A000183
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 02 2003
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