Number of partitions into at most a(1) copies of 1, a(2) copies of 2, ...

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =3a(6) =5a(7) =6a(8) =8a(9) =10a(10) =13a(11) =17a(12) =21a(13) =27a(14) =34a(15) =42a(16) =53a(17) =65a(18) =80a(19) =98a(20) =119a(21) =146a(22) =177a(23) =213a(24) =258a(25) =309a(26) =370a(27) =443a(28) =528a(29) =628