Number of arithmetic progressions of 3 or more positive integers, strictly increasing with sum n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =0a(7) =0a(8) =2a(9) =1a(10) =0a(11) =3a(12) =0a(13) =1a(14) =5a(15) =1a(16) =0a(17) =6a(18) =0a(19) =2a(20) =7a(21) =2a(22) =0a(23) =8a(24) =2a(25) =2a(26) =9a(27) =3a(28) =0a(29) =13