Total number of partitions of all numbers <= n with designated summands, n >= 0.

Terms

a(0) =1a(1) =2a(2) =5a(3) =10a(4) =20a(5) =35a(6) =63a(7) =104a(8) =173a(9) =275a(10) =435a(11) =666a(12) =1018a(13) =1516a(14) =2248a(15) =3275a(16) =4745a(17) =6776a(18) =9632a(19) =13528a(20) =18910a(21) =26182a(22) =36078a(23) =49311a(24) =67111a(25) =90690a(26) =122052a(27) =163271a(28) =217559a(29) =288350