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

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =9a(5) =16a(6) =27a(7) =44a(8) =68a(9) =114a(10) =156a(11) =236a(12) =325a(13) =500a(14) =622a(15) =900a(16) =1143a(17) =1659a(18) =1954a(19) =2731a(20) =3277a(21) =4564a(22) =5185a(23) =7040a(24) =8114a(25) =10948a(26) =12124a(27) =16058a(28) =17977a(29) =23640