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 A265836 Expansion of Product_{k>=1} 1/(1 - k*(k+1)*x^k). 3
 1, 2, 10, 32, 120, 342, 1206, 3320, 10604, 29578, 88342, 239400, 702020, 1863654, 5262650, 13948824, 38427192, 100244162, 272822282, 703972024, 1883948848, 4839944150, 12779850278, 32548367784, 85335644100, 215826029018, 560407835934, 1412632075328 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..2000 FORMULA a(n) ~ c * 6^(n/2), where c = 79.0418032646837469192452349...... if n is even, c = 78.4480460169710091436913691...... if n is odd. MAPLE b:= proc(n, i) option remember; `if`(n=0 or i=1,       2^n, b(n, i-1)+(1+i)*i*b(n-i, min(n-i, i)))     end: a:= n-> b(n\$2): seq(a(n), n=0..33);  # Alois P. Heinz, Aug 16 2019 MATHEMATICA nmax = 40; CoefficientList[Series[Product[1/(1 - k*(k+1)*x^k), {k, 1, nmax}], {x, 0, nmax}], x] CROSSREFS Cf. A074141, A077335, A092485, A305204. Sequence in context: A324172 A034555 A084154 * A083099 A032095 A328039 Adjacent sequences:  A265833 A265834 A265835 * A265837 A265838 A265839 KEYWORD nonn AUTHOR Vaclav Kotesovec, Dec 16 2015 STATUS approved

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Last modified May 17 16:03 EDT 2021. Contains 343980 sequences. (Running on oeis4.)