Number of partitions p of n such that (1/3)*max(p) is a part of p.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =1a(5) =1a(6) =2a(7) =3a(8) =5a(9) =6a(10) =9a(11) =11a(12) =16a(13) =20a(14) =27a(15) =33a(16) =45a(17) =55a(18) =72a(19) =89a(20) =116a(21) =142a(22) =181a(23) =222a(24) =281a(25) =343a(26) =429a(27) =522a(28) =649a(29) =786