Number of integer partitions of n with exactly as many ones as the next greatest multiplicity.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =1a(5) =1a(6) =3a(7) =2a(8) =4a(9) =5a(10) =8a(11) =6a(12) =15a(13) =13a(14) =19a(15) =25a(16) =33a(17) =36a(18) =54a(19) =58a(20) =80a(21) =96a(22) =122a(23) =141a(24) =188a(25) =217a(26) =274a(27) =326a(28) =408a(29) =474