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 A345757 E.g.f.: Product_{k>=1} (1 + (exp(x) - 1)^k)^(1/k!). 2
 1, 1, 2, 8, 34, 137, 614, 3754, 25449, 82747, -1523792, -34833005, -335209288, 194665837, 59685834069, 715582325511, -10186972407657, -584687267399246, -10975484551366964, 8845584310341044, 8145484883568515927, 330326712925212377392, 7816903733527799885488 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Stirling transform of A298906. LINKS Table of n, a(n) for n=0..22. N. J. A. Sloane, Transforms Eric Weisstein's World of Mathematics, Stirling Transform FORMULA E.g.f.: exp( Sum_{k>=1} (-1)^(k+1) * (exp((exp(x) - 1)^k) - 1)/k ). a(n) = Sum_{k=0..n} Stirling2(n,k) * A298906(k). PROG (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(prod(k=1, N, (1+(exp(x)-1)^k)^(1/k!)))) (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=1, N, (-1)^(k+1)*(exp((exp(x)-1)^k)-1)/k)))) CROSSREFS Cf. A048993, A298906, A345756, A345758. Sequence in context: A111643 A000163 A117616 * A228655 A192402 A014445 Adjacent sequences: A345754 A345755 A345756 * A345758 A345759 A345760 KEYWORD sign AUTHOR Seiichi Manyama, Jun 26 2021 STATUS approved

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Last modified November 28 08:58 EST 2023. Contains 367411 sequences. (Running on oeis4.)