OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..566
FORMULA
MAPLE
a:= proc(n) option remember; `if`(n=0, 1, add(
a(n-k)*binomial(n-1, k-1)*(2-(k mod 2)), k=1..n))
end:
seq(a(n), n=0..24); # Alois P. Heinz, Mar 24 2022
MATHEMATICA
nmax = 24; CoefficientList[Series[Exp[Exp[x] + Cosh[x] - 2], {x, 0, nmax}], x] Range[0, nmax]!
a[0] = 1; a[n_] := a[n] = (1/2) Sum[Binomial[n - 1, k - 1] (3 + (-1)^k) a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 24}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Mar 24 2022
STATUS
approved