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 A182967 E.g.f.: A(x) = Product_{n>=1} (1 + 4*x^n/n)^n. 3
 1, 4, 8, 120, 576, 6240, 75840, 772800, 11585280, 163914240, 2694558720, 45947489280, 876665180160, 17329568256000, 364677585592320, 8306018798837760, 195321474697789440, 4892032896606535680 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..436 EXAMPLE E.g.f.: A(x) = 1 + 4*x + 8*x^2/2! + 120*x^3/3! + 576*x^4/4! +... A(x) = (1+4x)*(1+4x^2/2)^2*(1+4x^3/3)^3*(1+4x^4/4)^4*(1+4x^5/5)^5*... MATHEMATICA With[{nn=20}, CoefficientList[Series[Product[(1+4 x^n/n)^n, {n, nn}], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Apr 11 2020 *) PROG (PARI) {a(n, k=4)=n!*polcoeff(prod(m=1, n, (1+k*x^m/m+x*O(x^n))^m), n)} CROSSREFS Cf. A181541, A182965, A182966, A007838. Sequence in context: A111100 A105036 A012940 * A013049 A193155 A060239 Adjacent sequences: A182964 A182965 A182966 * A182968 A182969 A182970 KEYWORD nonn AUTHOR Paul D. Hanna, Dec 19 2010 STATUS approved

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Last modified September 27 08:53 EDT 2023. Contains 365674 sequences. (Running on oeis4.)