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 A349602 E.g.f. satisfies: A(x) * log(A(x)) = 1 - exp(-x*A(x)^2). 4
 1, 1, 2, 2, -43, -668, -5908, -1209, 1399400, 37121106, 508366819, -3012861630, -444910083132, -15407930598279, -249403814792546, 5359691081465462, 589889204153846141, 23861630070579997032, 379819221897309026072, -21971010821241361939769 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..390 FORMULA a(n) = Sum_{k=0..n} (-1)^(n-k) * (2*n-k+1)^(k-1) * Stirling2(n,k). MATHEMATICA a[n_] := Sum[(-1)^(n - k)*(2*n - k + 1)^(k - 1)*StirlingS2[n, k], {k, 0, n}]; Array[a, 20, 0] (* Amiram Eldar, Nov 23 2021 *) PROG (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*(2*n-k+1)^(k-1)*stirling(n, k, 2)); CROSSREFS Cf. A216135, A349600, A349601. Cf. A349585, A349589. Sequence in context: A271845 A348226 A280061 * A156467 A303538 A222661 Adjacent sequences: A349599 A349600 A349601 * A349603 A349604 A349605 KEYWORD sign AUTHOR Seiichi Manyama, Nov 22 2021 STATUS approved

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Last modified September 27 16:39 EDT 2023. Contains 365713 sequences. (Running on oeis4.)