Number of finite sequences b with b(0) = 1, b(i+1) = b(i)+d where d|b(i), ending with n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =5a(6) =5a(7) =12a(8) =17a(9) =31a(10) =31a(11) =96a(12) =96a(13) =197a(14) =324a(15) =629a(16) =629a(17) =1695a(18) =1695a(19) =4374a(20) =6266a(21) =10671a(22) =10671a(23) =34402a(24) =38776a(25) =73274a(26) =109371a(27) =223510a(28) =223510a(29) =634267