Number of integer partitions of n whose length is twice their alternating sum.

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =0a(5) =1a(6) =1a(7) =1a(8) =2a(9) =2a(10) =4a(11) =3a(12) =6a(13) =6a(14) =9a(15) =11a(16) =13a(17) =18a(18) =21a(19) =28a(20) =32a(21) =44a(22) =49a(23) =65a(24) =76a(25) =96a(26) =114a(27) =141a(28) =170a(29) =204