Number of positive special sums of integer partitions of n.

Terms

a(0) =1a(1) =3a(2) =7a(3) =13a(4) =25a(5) =40a(6) =67a(7) =100a(8) =158a(9) =220a(10) =336a(11) =452a(12) =649a(13) =862a(14) =1228a(15) =1553a(16) =2155a(17) =2738a(18) =3674a(19) =4612a(20) =6124a(21) =7497a(22) =9857a(23) =12118a(24) =15524a(25) =18821a(26) =24152a(27) =28863a(28) =36549a(29) =44002