Rank of the partition of n formed by the terms of its binary expansion from largest to smallest.

Terms

a(0) =1a(1) =2a(2) =2a(3) =5a(4) =6a(5) =9a(6) =10a(7) =22a(8) =29a(9) =40a(10) =51a(11) =70a(12) =88a(13) =114a(14) =141a(15) =231a(16) =296a(17) =383a(18) =485a(19) =620a(20) =779a(21) =981a(22) =1220a(23) =1530a(24) =1890a(25) =2337a(26) =2866a(27) =3516a(28) =4280a(29) =5210