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 A344184 Lexicographically earliest sequence of positive integers such that for any n > 0, the binary expansion of a(n) contains the binary expansion of k for k = 1..n and the binary expansion of a(n+1) is obtained by replacing a possibly empty substring of the binary expansion of a(n) by the binary expansion of n+1. 1
 1, 2, 6, 12, 44, 44, 92, 184, 1208, 1336, 5304, 5304, 10680, 10680, 21368, 42736, 567024, 673520, 5383920, 5383920, 21535472, 172283632, 172283632, 172283632, 344774384, 344774384, 344774384, 344774384, 689559280, 689559280, 1379118576, 2758237152, 71477713888 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This sequence is a variant of A056744, easier to compute. This sequence is not weakly increasing; a(109) < a(108). LINKS Rémy Sigrist, Table of n, a(n) for n = 1..1024 Rémy Sigrist, Binary plot of the first 1024 terms Rémy Sigrist, PARI program for A344184 FORMULA A144016(a(n)) >= n. EXAMPLE The first terms, alongside their binary expansion, are: n a(n) bin(n) bin(a(n)) -- ----- ------ --------------- 1 1 1 1 2 2 10 10 3 6 11 110 4 12 100 1100 5 44 101 101100 6 44 110 101100 7 92 111 1011100 8 184 1000 10111000 9 1208 1001 10010111000 10 1336 1010 10100111000 11 5304 1011 1010010111000 12 5304 1100 1010010111000 13 10680 1101 10100110111000 14 10680 1110 10100110111000 15 21368 1111 101001101111000 PROG (PARI) See Links section. CROSSREFS Cf. A056744, A144016, A344183. Sequence in context: A178008 A266005 A056744 * A164859 A332868 A261467 Adjacent sequences: A344181 A344182 A344183 * A344185 A344186 A344187 KEYWORD nonn,base AUTHOR Rémy Sigrist, May 11 2021 STATUS approved

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Last modified June 14 04:49 EDT 2024. Contains 373393 sequences. (Running on oeis4.)