Expansion of Product_{k>=1} 1/(1 - x^k)^(p(k)-p(k-1)), where p(k) = number of partitions of k (A000041).

A304967

Expansion of Product_{k>=1} 1/(1 - x^k)^(p(k)-p(k-1)), where p(k) = number of partitions of k (A000041).

Terms

    a(0) =1a(1) =0a(2) =1a(3) =1a(4) =3a(5) =3a(6) =8a(7) =9a(8) =20a(9) =26a(10) =49a(11) =68a(12) =123a(13) =173a(14) =295a(15) =432a(16) =707a(17) =1044a(18) =1672a(19) =2483a(20) =3900a(21) =5817a(22) =8993a(23) =13424a(24) =20539a(25) =30609a(26) =46399a(27) =69052a(28) =103879a(29) =154198

External references