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

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =7a(6) =8a(7) =11a(8) =15a(9) =17a(10) =24a(11) =32a(12) =38a(13) =51a(14) =68a(15) =81a(16) =109a(17) =138a(18) =169a(19) =220a(20) =278a(21) =336a(22) =431a(23) =536a(24) =654a(25) =816a(26) =1007a(27) =1221a(28) =1511a(29) =1843