Expansion of e.g.f. Product_{k>=1} (1 + x^k)^(1/k!).

Terms

a(0) =1a(1) =1a(2) =1a(3) =4a(4) =2a(5) =1a(6) =77a(7) =29a(8) =-4289a(9) =-14836a(10) =283812a(11) =1316855a(12) =-16548717a(13) =-292820579a(14) =911200565a(15) =52594983250a(16) =100157634380