OFFSET
0,7
COMMENTS
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..10000
FORMULA
a(n) ~ exp(2*Pi*sqrt(n/21)) / (4 * 21^(1/4) * sin(Pi/7) * n^(3/4)) * (1 - (3*sqrt(21)/(16*Pi) + 13*Pi/(84*sqrt(21))) / sqrt(n)). - Vaclav Kotesovec, Aug 26 2015, extended Jan 24 2017
a(n) = (1/n)*Sum_{k=1..n} A284151(k)*a(n-k), a(0) = 1. - Seiichi Manyama, Mar 21 2017
MATHEMATICA
nmax = 100; CoefficientList[Series[Product[1/((1 - x^(7k+1))*(1 - x^(7k+6))), {k, 0, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 26 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
Prepended a(0)=1 from Vaclav Kotesovec, Jan 23 2017
STATUS
approved