Number of partitions of n where there are k^2+1 kinds of parts k.

Terms

a(0) =1a(1) =2a(2) =8a(3) =24a(4) =72a(5) =196a(6) =532a(7) =1368a(8) =3467a(9) =8520a(10) =20580a(11) =48664a(12) =113330a(13) =259588a(14) =586692a(15) =1308304a(16) =2883427a(17) =6283192a(18) =13551344a(19) =28940688a(20) =61246052a(21) =128492516a(22) =267388008a(23) =552126648a(24) =1131750735a(25) =2303690862a(26) =4658080756a(27) =9358912416a(28) =18689701580a(29) =37106245300