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Search: id:A081066
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| A081066 |
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Even order Taylor expansion coefficients at x=0 of exp(exp(x^2/2)-1), odd order coefficients being equal to zero. |
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+0
1
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| 1, 1, 6, 75, 1575, 49140, 2110185, 118513395, 8391883500, 728713460475, 75932204473125, 9329869676877750, 1332483237190430325, 218552871240812233125, 40748996386059790578750
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jun 18 2008, Table of n, a(n) for n = 0..18
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FORMULA
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In Maple notation: a(n)=evalf(subs(x=0, diff((exp(exp(x^2/2)-1), x$2*n)))), n=1, 2...
a(n) = (2*n-1)!!*Bell(n). - Vladeta Jovovic (vladeta(AT)Eunet.yu), May 19 2007
E.g.f.: A(x) = exp(-1)*Sum_{n>=0} (1-2*n*x)^(-1/2)/n!. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 05 2008
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CROSSREFS
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Cf. A000110, A001147.
Adjacent sequences: A081063 A081064 A081065 this_sequence A081067 A081068 A081069
Sequence in context: A129031 A139088 A126462 this_sequence A016090 A137132 A053337
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KEYWORD
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nonn
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AUTHOR
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Karol A. Penson (penson(AT)lptl.jussieu.fr), Mar 04 2003
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