OFFSET
0,3
COMMENTS
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..10000
FORMULA
G.f.: 1/Product_{k>=0} P(x^(3^k)) where P(x)=Product_{k>=1} (1-x^k). - Joerg Arndt, Jun 21 2011
(1, 1, 2, 1, 1, 2, 1, 1, 3, 1, 1, 2, ...).
EXAMPLE
Equals 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)*(1-x^6)^2*(1-x^7)*...); where in (1-x)^k, k = A051064: (1, 1, 2, 1, 1, 2, 1, 1, 3, ...).
PROG
(PARI) N=66; x='x+O('x^N); /* that many terms */
gf=1/prod(e=0, ceil(log(N)/log(3)), eta(x^(3^e)));
Vec(gf) /* show terms */ /* Joerg Arndt, Jun 21 2011 */
CROSSREFS
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Feb 13 2010
EXTENSIONS
More terms from Joerg Arndt, Jun 21 2011
STATUS
approved