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A062265
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Row sums of signed triangle A062140 (generalized a=4 Laguerre).
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2
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1, 4, 19, 104, 641, 4364, 32251, 254176, 2091841, 17435924, 138844931, 891248984, 263059969, -163754125796, -4970760027029, -117798281164336, -2588474951884159, -55489648295242204, -1184521077396558989, -25406942370946446776, -549455868757454486399, -11980725887273702949076
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OFFSET
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0,2
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LINKS
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FORMULA
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E.g.f.: exp(-x/(1-x))/(1-x)^5.
a(n) = n! * Sum_{m=0..n} (-1)^m * binomial(n+4, n-m)/m!.
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MATHEMATICA
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PROG
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(PARI) for(n=0, 30, print1(n!*sum(k=0, n, (-1)^k*binomial(n+4, n-k)/k!), ", ")) \\ G. C. Greubel, May 13 2018
(PARI) a(n) = vecsum(Vec(n!*pollaguerre(n, 4))); \\ Michel Marcus, Feb 06 2021
(Magma) [Factorial(n)*(&+[(-1)^k*Binomial(n+4, n-k)/Factorial(k): k in [0..n]]): n in [0..30]]; // G. C. Greubel, May 13 2018
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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