Expansion of Product_{k>=1} 1/(1 - x^k)^tau_k(k), where tau_k(k) = number of ordered k-factorizations of k (A163767).

A304965

Expansion of Product_{k>=1} 1/(1 - x^k)^tau_k(k), where tau_k(k) = number of ordered k-factorizations of k (A163767).

Terms

    a(0) =1a(1) =1a(2) =3a(3) =6a(4) =19a(5) =30a(6) =96a(7) =152a(8) =461a(9) =775a(10) =1883a(11) =3271a(12) =8751a(13) =14370a(14) =34004a(15) =59491a(16) =140450a(17) =239746a(18) =541817a(19) =932681a(20) =2089189a(21) =3606641a(22) =7719178a(23) =13398411a(24) =28848808a(25) =49603982a(26) =103047935a(27) =179154858a(28) =370200348a(29) =639269735

External references