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

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =11a(5) =21a(6) =37a(7) =69a(8) =109a(9) =181a(10) =287a(11) =487a(12) =695a(13) =1079a(14) =1547a(15) =2451a(16) =3194a(17) =4742a(18) =6321a(19) =9522a(20) =11736a(21) =16858a(22) =21262a(23) =30782a(24) =36420a(25) =50928a(26) =61596a(27) =86402a(28) =99282a(29) =135682