Number of partitions of n such that the (sum of distinct odd parts) < n/2.

Terms

a(0) =0a(1) =1a(2) =2a(3) =4a(4) =4a(5) =7a(6) =9a(7) =13a(8) =22a(9) =31a(10) =40a(11) =53a(12) =75a(13) =98a(14) =126a(15) =156a(16) =215a(17) =272a(18) =375a(19) =461a(20) =602a(21) =743a(22) =971a(23) =1175a(24) =1491a(25) =1817a(26) =2359a(27) =2831a(28) =3499a(29) =4210