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

Terms

a(0) =0a(1) =1a(2) =2a(3) =3a(4) =5a(5) =7a(6) =11a(7) =16a(8) =23a(9) =33a(10) =46a(11) =63a(12) =86a(13) =116a(14) =153a(15) =203a(16) =265a(17) =345a(18) =444a(19) =571a(20) =727a(21) =925a(22) =1166a(23) =1468a(24) =1836a(25) =2293a(26) =2845a(27) =3525a(28) =4345a(29) =5347