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 A295098 a(n) = n! * [x^n] exp(n*x)*(1 + exp(x^2/2)*x*(1 + sqrt(Pi/2)*erf(x/sqrt(2)))). 3
 1, 2, 10, 75, 760, 9715, 150060, 2719017, 56556480, 1328337117, 34773226340, 1003998156293, 31696623421488, 1086258754644505, 40161805428662876, 1593475984997421525, 67534151717002711296, 3044989873158805787409, 145537456143562934305860, 7350253384336351186239341, 391132792671917087054081200 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The n-th term of the n-th binomial transform of A006882. LINKS G. C. Greubel, Table of n, a(n) for n = 0..250 N. J. A. Sloane, Transforms Index entries for sequences related to factorial numbers FORMULA a(n) ~ c * n^n, where c = 1 + exp(1/2) * (1 + sqrt(Pi/2) * erf(1/sqrt(2))) = 4.0594074053425761445394754992332... - Vaclav Kotesovec, Aug 21 2018 MATHEMATICA Table[n! SeriesCoefficient[Exp[n x] (1 + Exp[x^2/2] x (1 + Sqrt[Pi/2] Erf[x/Sqrt[2]])), {x, 0, n}], {n, 0, 20}] CROSSREFS Cf. A006882, A063170, A263529, A295099, A295100. Sequence in context: A136222 A184356 A292631 * A124426 A321394 A320956 Adjacent sequences: A295095 A295096 A295097 * A295099 A295100 A295101 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Nov 14 2017 STATUS approved

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Last modified December 6 03:07 EST 2023. Contains 367594 sequences. (Running on oeis4.)