OFFSET
0,2
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..150
Vaclav Kotesovec, The partition factorial constant and asymptotics of the sequence A058694
FORMULA
a(n) ~ c * A058694(n), where c = Product_{k>=1} (1 + 1/p(k)) = 7.60150293364724365227288154074110141857580676049277152624021470033199348...
MAPLE
a:= proc(n) option remember: `if`(n<1, 1,
(1+combinat[numbpart](n))*a(n-1))
end:
seq(a(n), n=0..20);
MATHEMATICA
Table[Product[PartitionsP[k]+1, {k, 1, n}], {n, 0, 20}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jul 19 2015
EXTENSIONS
a(0)=1 prepended by Alois P. Heinz, Jul 26 2015
STATUS
approved