login
A294373
Product of first n Bell numbers.
6
1, 1, 2, 10, 150, 7800, 1583400, 1388641800, 5748977052000, 121573617718644000, 14099500314919737900000, 9567497928695086546803000000, 40313580569855830588349480391000000, 1114446238307803607782300144651734867000000
OFFSET
0,3
LINKS
FORMULA
log(a(n)) ~ n^2 * LambertW(n)/2 * (1 - 3/(2*LambertW(n)) + 3/(2*LambertW(n)^2) + 1/(4*LambertW(n)^3)). - Vaclav Kotesovec, Feb 26 2021
MAPLE
B:= map(combinat:-bell, [$0..19]):
map(i -> convert(B[1..i], `*`), [$1..20]); # Robert Israel, Oct 29 2017
MATHEMATICA
Table[Product[BellB[k], {k, 0, n}], {n, 0, 15}]
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Oct 29 2017
STATUS
approved