OFFSET
0,17
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..10000
FORMULA
G.f.: 1/product(1-x^(3+5j), j=0..infinity). - Emeric Deutsch, Mar 30 2006
a(n) ~ Gamma(3/5) * exp(Pi*sqrt(2*n/15)) / (2^(9/5) * 3^(3/10) * 5^(1/5) * Pi^(2/5) * n^(4/5)) * (1 + (11*Pi/(120*sqrt(30)) - 6*sqrt(6/5)/(5*Pi)) / sqrt(n)). - Vaclav Kotesovec, Feb 27 2015, extended Jan 24 2017
a(n) = (1/n)*Sum_{k=1..n} A284281(k)*a(n-k), a(0) = 1. - Seiichi Manyama, Mar 24 2017
EXAMPLE
a(21)=3 since 21 = 18+3 = 13+8 = 3+3+3+3+3+3+3
MAPLE
g:=1/product(1-x^(3+5*j), j=0..25): gser:=series(g, x=0, 85): seq(coeff(gser, x, n), n=0..80); # Emeric Deutsch, Mar 30 2006
MATHEMATICA
nmax=100; CoefficientList[Series[Product[1/(1-x^(5*k+3)), {k, 0, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Feb 27 2015 *)
PROG
(PARI) Vec(prod(k=0, 100, 1/(1 - x^(5*k + 3))) + O(x^111)) \\ Indranil Ghosh, Mar 24 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Erich Friedman, Aug 07 2005
EXTENSIONS
More terms from Emeric Deutsch, Mar 30 2006
STATUS
approved