Expansion of Product_{k>=1} (1 + k*x^k)^sigma(k), where sigma = A000203.

Terms

a(0) =1a(1) =1a(2) =6a(3) =18a(4) =52a(5) =142a(6) =404a(7) =1018a(8) =2624a(9) =6645a(10) =16124a(11) =38857a(12) =92245a(13) =214841a(14) =494098a(15) =1125062a(16) =2522188a(17) =5604930a(18) =12327860a(19) =26838595a(20) =57913194a(21) =123951482a(22) =263019720a(23) =553989989a(24) =1158449522a(25) =2405179547a(26) =4961047246a(27) =10168544537a(28) =20714279168a(29) =41952595411