OFFSET
0,3
COMMENTS
a(n) is the number of partitions of n into parts 5k+1, 5k+2 or 5k+3. - George Beck, Aug 09 2020
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..10000
FORMULA
a(n) ~ Pi^(1/5) * exp(Pi*sqrt(2*n/5)) / (Gamma(4/5) * 2^(3/5) * 5^(9/10) * n^(3/5)). - Vaclav Kotesovec, Jan 07 2021
MATHEMATICA
nmax = 50; CoefficientList[Series[1/Product[(1 - x^(5*k+1))*(1 - x^(5*k+2))*(1 - x^(5*k+3)), {k, 0, nmax/5}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Jan 07 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Ralf Stephan, May 13 2005
STATUS
approved