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 A354244 Expansion of e.g.f. Sum_{k>=0} (2*k)! * (-log(1-x))^k / k!. 3
 1, 2, 26, 796, 44916, 4058448, 537029616, 97903213056, 23525415709632, 7205450503530816, 2740066802232081984, 1266655419369548369280, 699532666466320784246400, 454880976674201215672273920, 344008843780994236543882521600 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..14. FORMULA a(n) = Sum_{k=0..n} (2*k)! * |Stirling1(n,k)|. PROG (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (2*k)!*(-log(1-x))^k/k!))) (PARI) a(n) = sum(k=0, n, (2*k)!*abs(stirling(n, k, 1))); CROSSREFS Cf. A007840, A354251. Cf. A316747, A354241. Sequence in context: A138524 A329556 A316747 * A059516 A210672 A290688 Adjacent sequences: A354241 A354242 A354243 * A354245 A354246 A354247 KEYWORD nonn AUTHOR Seiichi Manyama, May 20 2022 STATUS approved

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Last modified December 8 23:37 EST 2023. Contains 367681 sequences. (Running on oeis4.)