Number of integer partitions of n of length > 2 whose second differences have median 0.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =1a(5) =1a(6) =5a(7) =4a(8) =10a(9) =13a(10) =18a(11) =23a(12) =44a(13) =44a(14) =72a(15) =98a(16) =132a(17) =162a(18) =241a(19) =277a(20) =394a(21) =497a(22) =643a(23) =800a(24) =1076a(25) =1287a(26) =1660a(27) =2078a(28) =2604a(29) =3192