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URL: https://oeis.org/A384088

⇱ A384088 - OEIS

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A384088
a(n) = [x^n] Product_{k=1..n} ((1 + k*x)/(1 - k*x))^4.
2
1, 8, 288, 18528, 1728000, 211687080, 32159822688, 5835397918336, 1231573968949248, 296447550279133320, 80158746419240852000, 24057027574081163030688, 7935414295799696292767232, 2853706409310576479751168168, 1111199574070700473937862463200, 465782420445680979210397280524800
OFFSET
0,2
FORMULA
a(n) ~ c * d^n * n! / n, where d = 29.85915450232266280267400661836716424701025678171993103713550551... and c = 0.415660498916272367812330643610916948922178337726778287649763513...
MATHEMATICA
Table[SeriesCoefficient[Product[(1+k*x)^4/(1-k*x)^4, {k, 1, n}], {x, 0, n}], {n, 0, 16}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, May 19 2025
STATUS
approved