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 A265975 Expansion of Product_{k>=1} 1/(1 - 4*k*x^k). 4
 1, 4, 24, 108, 512, 2164, 9464, 39004, 163008, 663588, 2713752, 10954764, 44328512, 178160724, 716821752, 2874497660, 11532111232, 46187508676, 185028540696, 740595436652, 2964628293504, 11862432443764, 47467812675320, 189902835709212, 759756868215872 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..1000 FORMULA a(n) ~ c * 4^n, where c = Product_{m>=2} 1/(1 - m/4^(m-1)) = 2.700170514502619666262858845683166558216386190684736249639219328278569... MAPLE b:= proc(n, i) option remember; `if`(n=0 or i=1,       4^n, b(n, i-1) +i*4*b(n-i, min(n-i, i)))     end: a:= n-> b(n\$2): seq(a(n), n=0..32);  # Alois P. Heinz, Aug 23 2019 MATHEMATICA nmax=40; CoefficientList[Series[Product[1/(1-4*k*x^k), {k, 1, nmax}], {x, 0, nmax}], x] CROSSREFS Cf. A006906, A265951, A265974, A265976. Cf. A246935, A246936. Sequence in context: A166036 A120908 A145655 * A306610 A059153 A129032 Adjacent sequences:  A265972 A265973 A265974 * A265976 A265977 A265978 KEYWORD nonn AUTHOR Vaclav Kotesovec, Dec 19 2015 STATUS approved

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Last modified September 21 07:28 EDT 2021. Contains 347596 sequences. (Running on oeis4.)