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

Terms

a(0) =1a(1) =1a(2) =7a(3) =19a(4) =71a(5) =173a(6) =583a(7) =1443a(8) =4255a(9) =10648a(10) =28929a(11) =71159a(12) =184740a(13) =445626a(14) =1110122a(15) =2638328a(16) =6369490a(17) =14870194a(18) =35031627a(19) =80465028a(20) =185556696a(21) =419916149a(22) =950785580a(23) =2121471778a(24) =4727971847a(25) =10412230698a(26) =22876886529a(27) =49776871862a(28) =107974178843a(29) =232302695301