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

A305049

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

Terms

    a(0) =1a(1) =1a(2) =3a(3) =8a(4) =27a(5) =67a(6) =216a(7) =569a(8) =1747a(9) =4812a(10) =14041a(11) =39483a(12) =115408a(13) =326385a(14) =941735a(15) =2684170a(16) =7725097a(17) =22063737a(18) =63354066a(19) =181223899a(20) =519883185a(21) =1488316952a(22) =4266788191a(23) =12219763777a(24) =35023995792a(25) =100326757107a(26) =287503501905a(27) =823654031283

External references