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 A296354 Official position where binary expansion of n starts in the list of binary numbers in the binary Champernowne sequence A076478. 5
 0, 1, 6, 8, 22, 25, 28, 31, 66, 70, 74, 78, 82, 86, 90, 94, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 450, 456, 462, 468, 474, 480, 486, 492, 498, 504, 510, 516, 522, 528, 534, 540, 546, 552, 558, 564, 570, 576, 582, 588 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n) is the official position where the binary expansion of n appears. The binary expansion of n may also appear earlier, by accident, see A296355 and A296356. LINKS Rémy Sigrist, Table of n, a(n) for n = 0..16384 FORMULA a(n) = A036799(A029837(n + 1) - 1) + A029837(n + 1) * n. - Rémy Sigrist, Dec 15 2017 EXAMPLE Here is the list A076478 broken up to show the successive binary numbers (the indexing starts at 0): 0, 1, 0,0, 0,1, 1,0, 1,1, 0,0,0, 0,0,1, 0,1,0, 0,1,1, 1,0,0, 1,0,1, ... 2 = 1,0 starts at position 6, so a(2) = 6. 4 = 1,0,0 starts at position 22, so a(4) = 22. PROG (PARI) a(n) = my (w=#binary(n)); return (2 + 2^w*(w-2) + w*n) \\ Rémy Sigrist, Dec 15 2017 CROSSREFS Cf. A029837, A036799, A061168, A076478, A296355, A296356. Sequence in context: A242504 A267023 A084962 * A343759 A024306 A024868 Adjacent sequences: A296351 A296352 A296353 * A296355 A296356 A296357 KEYWORD nonn,base AUTHOR N. J. A. Sloane, Dec 14 2017 EXTENSIONS More terms from Rémy Sigrist, Dec 15 2017 STATUS approved

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Last modified March 23 10:25 EDT 2023. Contains 361443 sequences. (Running on oeis4.)