Number of partitions p of n not containing round((min(p) + max(p))/2) as a part.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =2a(5) =4a(6) =6a(7) =11a(8) =14a(9) =24a(10) =30a(11) =44a(12) =57a(13) =84a(14) =102a(15) =145a(16) =180a(17) =241a(18) =302a(19) =403a(20) =494a(21) =648a(22) =796a(23) =1015a(24) =1253a(25) =1593a(26) =1941a(27) =2439a(28) =2969a(29) =3680