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 A298374 Expansion of e.g.f. 1/(1 - x)^exp(-x). 5
 1, 1, 0, 0, 6, 15, 65, 595, 4004, 32865, 322307, 3316511, 37845214, 471644173, 6319617369, 91114344217, 1404670896264, 23050054222177, 401305630237239, 7387282161642715, 143360257370842146, 2925289119525173741, 62612350725688075941, 1402681525332544374325 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Exponential transform of A002741. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..450 N. J. A. Sloane, Transforms Index entries for sequences related to logarithmic numbers FORMULA a(n) ~ n! * n^(exp(-1)-1) / Gamma(exp(-1)). - Vaclav Kotesovec, May 04 2018 EXAMPLE 1/(1 - x)^exp(-x) = 1 + x/1! + 6*x^4/4! + 15*x^5/5! + 65*x^6/6! + 595*x^7/7! + ... MAPLE a:=series(1/(1-x)^exp(-x), x=0, 24): seq(n!*coeff(a, x, n), n=0..23); # Paolo P. Lava, Mar 26 2019 MATHEMATICA nmax = 23; CoefficientList[Series[1/(1 - x)^Exp[-x], {x, 0, nmax}], x] Range[0, nmax]! PROG (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x)^exp(-x))) \\ Seiichi Manyama, May 03 2022 CROSSREFS Cf. A002741, A007116, A009198, A191365. Sequence in context: A255007 A069750 A233450 * A324973 A318555 A359923 Adjacent sequences: A298371 A298372 A298373 * A298375 A298376 A298377 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Jan 18 2018 STATUS approved

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Last modified October 2 18:16 EDT 2023. Contains 365840 sequences. (Running on oeis4.)