a(n) = 1 + Sum_{i=1..n} S2(i)*2^i, where S2(n) is digit sum of n, n in binary notation.

Terms

a(0) =1a(1) =3a(2) =7a(3) =23a(4) =39a(5) =103a(6) =231a(7) =615a(8) =871a(9) =1895a(10) =3943a(11) =10087a(12) =18279a(13) =42855a(14) =92007a(15) =223079a(16) =288615a(17) =550759a(18) =1075047a(19) =2647911a(20) =4745063a(21) =11036519a(22) =23619431a(23) =57173863a(24) =90728295a(25) =191391591a(26) =392718183a(27) =929589095a(28) =1734895463a(29) =3882379111