Sum of products of terms in all partitions of 2*n into powers of 2.

Terms

a(0) =1a(1) =3a(2) =11a(3) =27a(4) =83a(5) =195a(6) =515a(7) =1155a(8) =2899a(9) =6387a(10) =15219a(11) =32883a(12) =76275a(13) =163059a(14) =368883a(15) =780531a(16) =1738259a(17) =3653715a(18) =8022355a(19) =16759635a(20) =36428371a(21) =75765843a(22) =163217491a(23) =338120787a(24) =723384915a(25) =1493913171a(26) =3176799827a(27) =6542573139a(28) =13844246099a(29) =28447592019