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%I #13 Dec 02 2021 12:15:56
%S 1,1,5,31,265,2621,30901,411475,6232241,103992985,1909517221,
%T 38038551431,819452533945,18924054045781,466804248205205,
%U 12234394315501051,339537099805667041,9941204417393228465,306212116909615474501,9894769026271957204975
%N E.g.f.: exp(1/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)) - 1).
%H Seiichi Manyama, <a href="/A294216/b294216.txt">Table of n, a(n) for n = 0..425</a>
%H Vaclav Kotesovec, <a href="/A294216/a294216.txt">Recurrence (of order 25)</a>
%t With[{nn=20},CoefficientList[Series[Exp[1/Times@@(1-x^Range[5])-1],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Sep 08 2018 *)
%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(1/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5))-1)))
%Y Column k=5 of A294212.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Oct 25 2017
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