OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..200
FORMULA
a(n) = [x^(3^n)] (Sum_{j=0..2*n+1} x^(3^j))^(2*n+1).
a(n) ~ c * d^n * n^(2*n + 3/2), where d = 0.28934785344292228780991..., c = 1.984098413887380996408... - Vaclav Kotesovec, Sep 20 2019
EXAMPLE
a(0) = 1: [1].
a(1) = 1: [1/3,1/3,1/3].
a(2) = 10: [1/3,1/3,1/9,1/9,1/9], [1/3,1/9,1/3,1/9,1/9], [1/3,1/9,1/9,1/3,1/9], [1/3,1/9,1/9,1/9,1/3], [1/9,1/3,1/3,1/9,1/9], [1/9,1/3,1/9,1/3,1/9], [1/9,1/3,1/9,1/9,1/3], [1/9,1/9,1/3,1/3,1/9], [1/9,1/9,1/3,1/9,1/3], [1/9,1/9,1/9,1/3,1/3].
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Nov 09 2017
STATUS
approved