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

A321192

a(n) = [x^n] Product_{k>=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) =2a(3) =6a(4) =20a(5) =55a(6) =239a(7) =700a(8) =3212a(9) =10104a(10) =48622a(11) =161579a(12) =806843a(13) =2799199a(14) =14379647a(15) =52018828a(16) =273472712a(17) =1023655306a(18) =5491615463a(19) =21234676241a(20) =115910309103a(21) =460998296937

External references