Number of integer partitions of n with non-integer median of 0-prepended first differences.

Terms

a(0) =0a(1) =1a(2) =0a(3) =1a(4) =2a(5) =4a(6) =3a(7) =4a(8) =5a(9) =10a(10) =10a(11) =15a(12) =22a(13) =26a(14) =34a(15) =42a(16) =57a(17) =63a(18) =85a(19) =105a(20) =121a(21) =149a(22) =202a(23) =230a(24) =305a(25) =355a(26) =459a(27) =544a(28) =687a(29) =778