Number of partitions of n having depth 2; see Comments.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =0a(5) =1a(6) =1a(7) =4a(8) =2a(9) =7a(10) =6a(11) =13a(12) =15a(13) =25a(14) =26a(15) =46a(16) =53a(17) =74a(18) =92a(19) =136a(20) =157a(21) =218a(22) =274a(23) =356a(24) =443a(25) =583a(26) =703a(27) =899a(28) =1125a(29) =1447