OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..10000
J. J. Webb, Arithmetic of the 13-regular partition function modulo 3, Ramanujan Journal, 25 (2011), 49-56.
FORMULA
a(n) ~ exp(Pi*sqrt(2*n*(s-1)/(3*s))) * (s-1)^(1/4) / (2 * 6^(1/4) * s^(3/4) * n^(3/4)) * (1 + ((s-1)^(3/2)*Pi/(24*sqrt(6*s)) - 3*sqrt(6*s) / (16*Pi * sqrt(s-1))) / sqrt(n) + ((s-1)^3*Pi^2/(6912*s) - 45*s/(256*(s-1)*Pi^2) - 5*(s-1)/128) / n), set s=13. - Vaclav Kotesovec, Aug 01 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 21 2021
STATUS
approved