a(n) = [x^n] Product_{k>=1} 1/(1 - x^k)^tau_n(k), where tau_n(k) = number of ordered n-factorizations of k.

A321191

a(n) = [x^n] Product_{k>=1} 1/(1 - x^k)^tau_n(k), where tau_n(k) = number of ordered n-factorizations of k.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =7a(4) =29a(5) =71a(6) =336a(7) =932a(8) =4593a(9) =13690a(10) =69708a(11) =222718a(12) =1163734a(13) =3902016a(14) =20825927a(15) =73229397a(16) =397806717a(17) =1452193925a(18) =8016518379a(19) =30328368519a(20) =169781766056a(21) =662143701506

External references