OFFSET
0,5
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..400
John D. Dixon, Asymptotics of Generating the Symmetric and Alternating Groups, Electronic Journal of Combinatorics, Item R56 of Volume 12(1), 2005.
FORMULA
a(n) ~ -Pi * n^(n+1) / (2^(n+4) * exp(n) * (log(2))^(n+3/2)). - Vaclav Kotesovec, Jul 28 2015
MATHEMATICA
nmax=30; A113871 = Rest[CoefficientList[Series[1/Sum[(k!)^2 x^k, {k, 0, nmax}], {x, 0, nmax}], x]]; Table[SeriesCoefficient[1 + Sum[A113871[[j]]/Product[n-i+1, {i, 1, j}]^2, {j, 1, nmax}], {n, Infinity, k}], {k, 0, nmax}] (* Vaclav Kotesovec, Jul 28 2015 *)
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Feb 01 2006
EXTENSIONS
Missing a(3)=0 and more terms added by Vaclav Kotesovec, Jul 28 2015
STATUS
approved