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A035378
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Coefficients in expansion of Sum_{k>=0} Product_{j=1..k} (1-x^j) about x = -1.
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2
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3, 11, 72, 635, 7085, 95911, 1528541, 28044762, 582314535, 13500314080, 345696545788, 9690223054222, 295132850278639, 9705001713289680, 342693270841135600, 12932930349605422101, 519485442041267214922
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) ~ sqrt(12) * exp(Pi^2/48) * 24^(n+1) * n^(n+1) / (exp(n) * Pi^(2*n+2)). - Vaclav Kotesovec, May 04 2014
Conjectures: a(5*n+3) == 0 (mod 5), a(5*n+4) == 0 (mod 5) and a(5*n+2) - 2*a(5*n+1) == (0 mod 5) (all checked up to n = 49). - Peter Bala, Jun 19 2023
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PROG
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(PARI) a(n)=polcoeff(sum(i=0, 2*n+1, prod(j=1, i, 1-(x-1)^j, 1+x*O(x^n))), n)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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