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A065980
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Inverse binomial transform of [1^1,2^2,3^3,...].
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0
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1, 3, 20, 186, 2248, 33340, 585744, 11891236, 273854368, 7053523236, 200894140120, 6268924259884, 212691682554960, 7795165961244532, 306908654169113416, 12918649608270463740, 578931362074039774144
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| (0, {a(n),n=1,...}) = inverse binomial transform of {A001923(m), m=0,...} [From Tilman Neumann (Tilman.Neumann(AT)web.de), Dec 17 2008]
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LINKS
| F. Ellermann, Illustration of binomial transforms
N. J. A. Sloane, Transforms
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FORMULA
| O.g.f.: Sum_{n>0} (n*x/(1+x))^n. E.g.f.: int(-exp(-x)*LambertW(-x)/(1+LambertW(-x))^3/x, x). - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 12 2003
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PROG
| (PARI) a(n)=if(n<1, 0, (n-1)!*polcoeff(exp(-x+O(x^n))*sum(k=0, n-1, (k+1)^(k+1)*x^k/k!), n-1))
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CROSSREFS
| Cf. A001923 [From Tilman Neumann (Tilman.Neumann(AT)web.de), Dec 17 2008]
Sequence in context: A000891 A129840 A085390 * A073767 A176043 A108206
Adjacent sequences: A065977 A065978 A065979 * A065981 A065982 A065983
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KEYWORD
| easy,nonn
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AUTHOR
| Robert A. Stump (bee_ess107(AT)yahoo.com), Dec 09 2001
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