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 A355495 Expansion of Sum_{k>=0} (k^2 * x/(1 - x))^k. 3
 1, 1, 17, 762, 67772, 10032208, 2226273192, 691431572992, 286268594755712, 152365547943819264, 101361042063083269520, 82409537565402784477984, 80397802305461995791664944, 92692687015689239272783171264 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Winston de Greef, Table of n, a(n) for n = 0..213 FORMULA a(n) = Sum_{k=1..n} k^(2*k) * binomial(n-1,k-1) for n > 0. PROG (PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, (k^2*x/(1-x))^k)) (PARI) a(n) = if(n==0, 1, sum(k=1, n, k^(2*k)*binomial(n-1, k-1))); CROSSREFS Cf. A355494, A355496. Cf. A323280. Sequence in context: A294757 A176233 A360647 * A368492 A012221 A012144 Adjacent sequences: A355492 A355493 A355494 * A355496 A355497 A355498 KEYWORD nonn AUTHOR Seiichi Manyama, Jul 04 2022 STATUS approved

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Last modified March 2 04:27 EST 2024. Contains 370460 sequences. (Running on oeis4.)