Expansion of Product_{k>=1} (1 + x^k)^tau_k(k), where tau_k(k) = number of ordered k-factorizations of k (A163767).
A321287
Expansion of Product_{k>=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) =2a(3) =5a(4) =14a(5) =22a(6) =70a(7) =109a(8) =318a(9) =551a(10) =1203a(11) =2136a(12) =5752a(13) =9263a(14) =20641a(15) =37151a(16) =85084a(17) =144918a(18) =317356a(19) =546730a(20) =1196302a(21) =2076810a(22) =4281584a(23) =7459351a(24) =15860805a(25) =27146911a(26) =54715933a(27) =95712097a(28) =194059563a(29) =334322338
External references
- oeis: A321287