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

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =7a(5) =11a(6) =17a(7) =27a(8) =34a(9) =50a(10) =65a(11) =94a(12) =110a(13) =154a(14) =182a(15) =250a(16) =279a(17) =375a(18) =420a(19) =555a(20) =601a(21) =781a(22) =847a(23) =1085a(24) =1152a(25) =1456a(26) =1547a(27) =1932a(28) =2024a(29) =2500