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 A335040 Numbers whose binary representation encodes a (binary) max-heap on elements from the set {0,1} with root at the most significant bit. 4
 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 24, 25, 26, 27, 28, 29, 30, 31, 32, 40, 41, 48, 50, 52, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 80, 81, 82, 83, 96, 100, 104, 108, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Heap Wikipedia, Binary heap Wikipedia, Most significant bit MAPLE q:= proc(n) local i, l; l:= convert(n, base, 2); for i from 2 to nops(l) do if l[-i]>l[-iquo(i, 2)] then return false fi od; true end: a:= proc(n) option remember; local k: for k from 1+ `if`(n=1, -1, a(n-1)) while not q(k) do od; k end: seq(a(n), n=1..70); CROSSREFS Cf. A000225 (subsequence), A335039, A335041, A335042 (subsequence). Sequence in context: A039273 A039164 A263977 * A270427 A270189 A257672 Adjacent sequences: A335037 A335038 A335039 * A335041 A335042 A335043 KEYWORD nonn,base AUTHOR Alois P. Heinz, May 20 2020 STATUS approved

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Last modified November 26 13:43 EST 2022. Contains 358362 sequences. (Running on oeis4.)