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

Terms

a(0) =1a(1) =0a(2) =3a(3) =8a(4) =21a(5) =48a(6) =126a(7) =288a(8) =693a(9) =1568a(10) =3570a(11) =7896a(12) =17417a(13) =37632a(14) =80823a(15) =171192a(16) =359733a(17) =747936a(18) =1543192a(19) =3155760a(20) =6407037a(21) =12909024a(22) =25835649a(23) =51359136a(24) =101470854a(25) =199264128a(26) =389096028a(27) =755591256a(28) =1459643343a(29) =2805471984