Number of partitions of n such that largest part k occurs at least floor(k/2) times.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =4a(5) =5a(6) =7a(7) =8a(8) =11a(9) =13a(10) =17a(11) =20a(12) =26a(13) =30a(14) =38a(15) =45a(16) =55a(17) =64a(18) =79a(19) =91a(20) =110a(21) =128a(22) =152a(23) =176a(24) =209a(25) =240a(26) =282a(27) =325a(28) =379a(29) =434