Number of integer partitions of n such that the maximum is less than twice the median.

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =8a(6) =8a(7) =12a(8) =15a(9) =19a(10) =22a(11) =31a(12) =34a(13) =45a(14) =55a(15) =67a(16) =78a(17) =100a(18) =115a(19) =144a(20) =170a(21) =203a(22) =238a(23) =291a(24) =337a(25) =403a(26) =473a(27) =560a(28) =650a(29) =772