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A294469 E.g.f.: 1/Product_{k>0} (1 - x^k/k)^k. 8
1, 1, 4, 18, 114, 810, 7140, 68880, 766920, 9304680, 125086080, 1814015280, 28588356720, 481128888240, 8678237087520, 166041500264640, 3371031116893440, 72153115744469760, 1627441316510929920, 38500269726897538560, 954533425718494702080 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
E.g.f.: exp(Sum_{k>=1} Sum_{j>=1} x^(j*k)/(k*j^(k-1))). - Ilya Gutkovskiy, Sep 12 2018
MATHEMATICA
nmax = 20; CoefficientList[Series[Product[1/(1-x^k/k)^k, {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Nov 01 2017 *)
PROG
(PARI) N=66; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1-x^k/k)^k)))
CROSSREFS
Sequence in context: A062805 A326093 A222584 * A308462 A053483 A052617
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 31 2017
STATUS
approved

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Last modified February 21 12:17 EST 2024. Contains 370235 sequences. (Running on oeis4.)