login
A293197
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!).
2
1, 1, 3, 13, 73, 501, 4050, 37632, 394296, 4595976, 58932720, 823949280, 12467513520, 202933851120, 3534322952160, 65559527953920, 1290129736896000, 26840074522060800, 588476031700677120, 13560642403296468480, 327603687047488051200, 8278733693718654566400
OFFSET
0,3
LINKS
MAPLE
b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
add(b(n-i*j, i-1)/j!, j=0..min(5, n/i))))
end:
a:= n-> n!*b(n$2):
seq(a(n), n=0..23); # Alois P. Heinz, Oct 02 2017
CROSSREFS
Column k=5 of A293135.
Sequence in context: A293196 A193931 A367757 * A193932 A193933 A306623
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 02 2017
STATUS
approved