Number of integer partitions of n with the same length as alternating sum.

Terms

a(0) =1a(1) =1a(2) =0a(3) =0a(4) =1a(5) =1a(6) =1a(7) =2a(8) =2a(9) =4a(10) =3a(11) =5a(12) =6a(13) =9a(14) =9a(15) =13a(16) =16a(17) =23a(18) =23a(19) =34a(20) =37a(21) =54a(22) =54a(23) =78a(24) =84a(25) =120a(26) =121a(27) =170a(28) =182a(29) =252