OFFSET
1,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..370
FORMULA
a(n) = Sum_{k=0..n} Stirling1(n, k)*k!*Catalan(k).
a(n) ~ 2*n! / (exp(1/8)*sqrt(Pi) * (exp(1/4)-1)^(n-1/2) * n^(3/2)). - Vaclav Kotesovec, May 03 2015
MATHEMATICA
Rest[CoefficientList[Series[(1-Sqrt[1-4*Log[1+x]])/Log[1+x]/2, {x, 0, 20}], x] * Range[0, 20]!] (* Vaclav Kotesovec, May 03 2015 *)
PROG
(PARI) x='x+O('x^50); Vec(serlaplace((1-sqrt(1-4*log(1+x)))/log(1+x)/2 - 1)) \\ G. C. Greubel, May 24 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladeta Jovovic, Oct 18 2003
STATUS
approved