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A060356
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E.g.f.: -LambertW(-x/(1+x)).
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5
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0, 1, 0, 3, 4, 65, 306, 4207, 38424, 573057, 7753510, 134046671, 2353898196, 47602871329, 1013794852266, 23751106404495, 590663769125296, 15806094859299329, 448284980183376078, 13515502344669830287
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,100
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FORMULA
| a(n) = Sum_{k=1..n} (-1)^(n-k)*n!/k!*binomial(n-1, k-1)*k^(k-1). a(n) = Sum_{k=0..n} Stirling1(n, k)*A058863(k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 17 2003
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PROG
| (PARI) { for (n=0, 100, f=n!; a=sum(k=1, n, (-1)^(n - k)*f/k!*binomial(n - 1, k - 1)*k^(k - 1)); write("b060356.txt", n, " ", a); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 04 2009]
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CROSSREFS
| Cf. A052871, A060313.
Cf. A008297.
Sequence in context: A041105 A196442 A079076 * A052323 A012087 A012194
Adjacent sequences: A060353 A060354 A060355 * A060357 A060358 A060359
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 01 2001
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