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 A346452 a(n) = [x^n] Product_{k>=1} (1 + n^(k-1)*x^k) / (1 - n^(k-1)*x^k). 2
 1, 2, 6, 32, 242, 2472, 31850, 490912, 8897058, 185373722, 4344896842, 113667973344, 3283155709106, 103486639506824, 3544144942010010, 131038318999642112, 5192873357864667202, 219952910549005233840, 9916266932124308092586, 473513072853351852164160 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..385 FORMULA a(n) ~ c * n^(n-1), where c = sqrt(2) * BesselI(1, 2*sqrt(2)) = 4.78966619... MATHEMATICA Table[SeriesCoefficient[Product[(1 + n^(k - 1)*x^k)/(1 - n^(k - 1)*x^k), {k, 1, n}], {x, 0, n}], {n, 0, 20}] Join[{1}, Table[SeriesCoefficient[2*x + (n - 1)/(n + 1)*QPochhammer[-1/n, n*x]/QPochhammer[1/n, n*x], {x, 0, n}], {n, 1, 20}]] CROSSREFS Cf. A340103, A338697, A346454. Sequence in context: A012318 A012521 A211195 * A012324 A121676 A326096 Adjacent sequences: A346449 A346450 A346451 * A346453 A346454 A346455 KEYWORD nonn AUTHOR Vaclav Kotesovec, Jul 19 2021 STATUS approved

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Last modified December 10 18:08 EST 2023. Contains 367717 sequences. (Running on oeis4.)