Number of partitions p of n containing round((min(p) + max(p))/2) as a part.

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =7a(6) =9a(7) =11a(8) =16a(9) =18a(10) =26a(11) =33a(12) =44a(13) =51a(14) =74a(15) =86a(16) =117a(17) =144a(18) =188a(19) =224a(20) =298a(21) =354a(22) =459a(23) =560a(24) =705a(25) =843a(26) =1069a(27) =1279a(28) =1596a(29) =1924