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 A286417 Lexicographically earliest sequence of distinct positive terms such that the binary representation of the n-th prime contains the binary representation of a(n). 2
 1, 3, 2, 7, 5, 6, 4, 9, 11, 13, 15, 18, 10, 21, 23, 26, 14, 29, 8, 17, 36, 19, 20, 12, 16, 25, 39, 43, 22, 24, 31, 32, 34, 69, 37, 75, 78, 35, 41, 45, 44, 53, 47, 48, 49, 71, 52, 27, 28, 50, 58, 55, 30, 59, 64, 65, 33, 67, 138, 70, 141, 73, 38, 77, 57, 61, 82 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This sequence is a permutation of the natural numbers. As for A160855, the scatterplot of this sequence shows (almost) straight lines: - here those lines are related to the position of a(n) in the n-th prime (in binary representation), - the scatterplot of the possible values of a(n) as a function of the n-th prime constitutes a network of lines in which the scatterplot of a(n) lies, - see also the scatterplots in the Links section. For any n>0, a(n) <= A000040(n); the first known values where equality occurs are a(2) = 3 and a(4) = 7. The fixed points of the sequence belong to A091020. The first fixed points are: 1, 5, 6, 31, 32, 50, 81, 1052, 3378. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Rémy Sigrist, Illustration of the first terms Rémy Sigrist, Colorized scatterplot of the first 100000 terms Rémy Sigrist, PARI program for A286417 EXAMPLE See illustration of the first terms in the Links section. CROSSREFS Cf. A000040, A091020, A160855. Sequence in context: A163915 A163916 A303075 * A303076 A298847 A059894 Adjacent sequences:  A286414 A286415 A286416 * A286418 A286419 A286420 KEYWORD nonn,base,look AUTHOR Rémy Sigrist, May 08 2017 STATUS approved

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Last modified February 24 01:03 EST 2020. Contains 332195 sequences. (Running on oeis4.)