OFFSET
0,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..100
FORMULA
a(n) ~ 2^(3/2) * n^(n-1) / (sqrt(5) * exp(n) * log(5/4)^(n-1/2)).
E.g.f.: -sqrt( exp(-x) * (-4+5*exp(-x)) ). - Seiichi Manyama, Oct 21 2021
MATHEMATICA
Table[(-5*(-1)^n + Sum[2*CatalanNumber[k] k^n/5^k, {k, 0, Infinity}]) / Sqrt[5], {n, 0, 20}]
PROG
(PARI) N=20; x='x+O('x^N); Vec(serlaplace(-sqrt(exp(-x)*(-4+5*exp(-x))))) \\ Seiichi Manyama, Oct 21 2021
CROSSREFS
KEYWORD
sign
AUTHOR
Vaclav Kotesovec, Nov 17 2015
STATUS
approved