Number of partitions with maximum rectangle <= n.

Terms

a(0) =1a(1) =2a(2) =5a(3) =10a(4) =26a(5) =42a(6) =118a(7) =171a(8) =389a(9) =692a(10) =1442a(11) =1854a(12) =5534a(13) =6895a(14) =11910a(15) =21116a(16) =44278a(17) =52568a(18) =118734a(19) =138670a(20) =300326a(21) =492507a(22) =728514a(23) =829244a(24) =2167430a(25) =2987124a(26) =4167602a(27) =6092588a(28) =11308432a(29) =12554900