Sum of products of parts increased by 1 in all partitions of n.

Terms

a(0) =1a(1) =2a(2) =7a(3) =18a(4) =50a(5) =118a(6) =301a(7) =684a(8) =1621a(9) =3620a(10) =8193a(11) =17846a(12) =39359a(13) =84198a(14) =181313a(15) =383208a(16) =811546a(17) =1695062a(18) =3546634a(19) =7341288a(20) =15207022a(21) =31261006a(22) =64255264a(23) =131317012a(24) =268336125a(25) =545858260a(26) =1110092387a(27) =2250057282a(28) =4558875555a(29) =9213251118