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A362346
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a(n) = n! * Sum_{k=0..floor(n/5)} (-n/120)^k /(k! * (n-5*k)!).
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2
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1, 1, 1, 1, 1, -4, -35, -146, -447, -1133, 10081, 162625, 1188001, 6073354, 24692669, -340585244, -8007557375, -83565282891, -598436312543, -3348919070207, 62583951520321, 1933207863670000, 26224985071994941, 241528060568764586, 1721188205642283841
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OFFSET
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0,6
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LINKS
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FORMULA
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a(n) = n! * [x^n] exp(x - n*x^5/120).
E.g.f.: exp( ( 24*LambertW(x^5/24) )^(1/5) ) / (1 + LambertW(x^5/24)).
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PROG
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(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((24*lambertw(x^5/24))^(1/5))/(1+lambertw(x^5/24))))
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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