Number of partitions p of n such that (number of distinct parts of p) < max(p) - min(p).

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =2a(7) =4a(8) =6a(9) =12a(10) =17a(11) =26a(12) =38a(13) =54a(14) =76a(15) =107a(16) =142a(17) =192a(18) =259a(19) =337a(20) =443a(21) =577a(22) =743a(23) =948a(24) =1213a(25) =1532a(26) =1935a(27) =2427a(28) =3031a(29) =3765