Number of compositions (ordered partitions) of n into an odd number of triangular numbers.

Terms

a(0) =0a(1) =1a(2) =0a(3) =2a(4) =0a(5) =4a(6) =1a(7) =9a(8) =3a(9) =19a(10) =12a(11) =41a(12) =33a(13) =91a(14) =92a(15) =203a(16) =238a(17) =466a(18) =602a(19) =1080a(20) =1493a(21) =2536a(22) =3661a(23) =6001a(24) =8902a(25) =14278a(26) =21554a(27) =34094a(28) =52013a(29) =81602