Number of (binary) max-heaps on n elements from the set {0,1} containing exactly nine 0's.

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =12a(5) =23a(6) =44a(7) =76a(8) =131a(9) =219a(10) =390a(11) =600a(12) =971a(13) =1469a(14) =2424a(15) =3328a(16) =5090a(17) =7138a(18) =11160a(19) =14397a(20) =21237a(21) =28018a(22) =41944a(23) =51464a(24) =73734a(25) =92806a(26) =134244a(27) =159128a(28) =222578a(29) =269926