OFFSET
0,3
FORMULA
a(n) = number of subpartitions of the partition [0,2,10,24,44,...,3(n-1)^2-(n-1)] for n>0 with a(0)=1. See A115728 for the definition of subpartitions.
EXAMPLE
1+x = 1 + 1*x/(1+x)^3 + 3*x^2/(1+x)^12 + 30*x^3/(1+x)^27 + 586*x^4/(1+x)^48 + 17865*x^5/(1+x)^75 + 756285*x^6/(1+x)^108 +...
PROG
(PARI) {a(n)=local(F=1/(1+x+x*O(x^n))); polcoeff(1+x-sum(k=0, n-1, a(k)*x^k*F^(3*k^2)), n)}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, May 09 2010
STATUS
approved