a(n) = Sum_{k=1..n} floor(p(k)/k).

Terms

a(0) =2a(1) =3a(2) =4a(3) =5a(4) =7a(5) =9a(6) =11a(7) =13a(8) =15a(9) =17a(10) =19a(11) =22a(12) =25a(13) =28a(14) =31a(15) =34a(16) =37a(17) =40a(18) =43a(19) =46a(20) =49a(21) =52a(22) =55a(23) =58a(24) =61a(25) =64a(26) =67a(27) =70a(28) =73a(29) =76