login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A294464
E.g.f.: Product_{k>0} (1+k*x^k)^(1/k).
1
1, 1, 2, 12, 36, 300, 2520, 20160, 75600, 2192400, 30996000, 276091200, 2165486400, 19070251200, 968042275200, 41954552640000, 190974944160000, 230641066656000, 95607669148992000, -2052972258809472000, 22839078791168640000, 5074390517301705600000
OFFSET
0,3
FORMULA
E.g.f.: exp(Sum_{k>=1} Sum_{j>=1} (-1)^(k+1)*j^(k-1)*x^(j*k)/k). - Ilya Gutkovskiy, May 28 2018
PROG
(PARI) N=66; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, (1+k*x^k)^(1/k))))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Oct 31 2017
STATUS
approved