OFFSET
0,3
LINKS
Robert Israel, Table of n, a(n) for n = 0..386
N. J. A. Sloane, Transforms
FORMULA
a(n) ~ tanh(1) * n^n. - Vaclav Kotesovec, Jun 08 2019
MAPLE
N:= 100: # to get a(0)..a(N)
T:= series(tanh(x), x, N+1):
C:= [seq(coeff(T, x, j), j=1..N)]:
seq(n! * add(C[i]*n^(n-i)/(n-i)!, i=1..n, 2), n=0..N); # Robert Israel, Apr 10 2018
MATHEMATICA
Table[n! SeriesCoefficient[Exp[n x] Tanh[x], {x, 0, n}], {n, 0, 19}]
PROG
(PARI) a(n) = my(x='x+O('x^(n+1))); polcoeff(n!*exp(n*x)*tanh(x), n); \\ Michel Marcus, Apr 11 2018; corrected Jun 15 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Apr 10 2018
STATUS
approved