OFFSET
0,3
COMMENTS
a(n) is the n-th term of the n-fold convolution of Bell numbers with themselves. - Alois P. Heinz, Feb 12 2019
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..573
MAPLE
b:= proc(n, k) option remember; `if`(n=0, 1, `if`(k=0, 0,
`if`(k=1, add(b(n-j, k)*binomial(n-1, j-1), j=1..n),
(h-> add(b(j, h)*b(n-j, k-h), j=0..n))(iquo(k, 2)))))
end:
a:= n-> b(n$2):
seq(a(n), n=0..25); # Alois P. Heinz, May 31 2018
MATHEMATICA
Table[SeriesCoefficient[1/(1 - x + ContinuedFractionK[-k x^2, 1 - (k + 1) x, {k, 1, n}])^n, {x, 0, n}], {n, 0, 24}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 25 2017
STATUS
approved