OFFSET
0,6
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..355
MAPLE
b:= proc(n, m) option remember; `if`(n=0,
a(m), m*b(n-1, m)+b(n-1, m+1))
end:
a:= n-> `if`(n<2, 1-n, b(n-2, 0)):
seq(a(n), n=0..25); # Alois P. Heinz, Aug 13 2021
MATHEMATICA
a[0] = 1; a[1] = 0; a[n_] := a[n] = Sum[StirlingS2[n - 2, k] a[k], {k, 0, n - 2}]; Table[a[n], {n, 0, 25}]
nmax = 25; A[_] = 0; Do[A[x_] = 1 + Normal[Integrate[Integrate[A[Exp[x] - 1 + O[x]^(nmax + 1)], x], x] + O[x]^(nmax + 1)], nmax]; CoefficientList[A[x], x] Range[0, nmax]!
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jun 10 2021
STATUS
approved