A293197 - OEIS

%I #11 Oct 03 2017 14:32:50

%S 1,1,3,13,73,501,4050,37632,394296,4595976,58932720,823949280,

%T 12467513520,202933851120,3534322952160,65559527953920,

%U 1290129736896000,26840074522060800,588476031700677120,13560642403296468480,327603687047488051200,8278733693718654566400

%N E.g.f.: Product_{m>0} (1+x^m+x^(2*m)/2!+x^(3*m)/3!+x^(4*m)/4!+x^(5*m)/5!).

%H Seiichi Manyama, <a href="/A293197/b293197.txt">Table of n, a(n) for n = 0..444</a>

%p b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,

%p       add(b(n-i*j, i-1)/j!, j=0..min(5, n/i))))

%p     end:

%p a:= n-> n!*b(n$2):

%p seq(a(n), n=0..23);  # _Alois P. Heinz_, Oct 02 2017

%Y Column k=5 of A293135.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Oct 02 2017