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 A173701 Let S be the sequence and let D denote the sequence obtained by moving every third term three steps to the left. The D is the sequence of absolute values of the first differences of S. 1
 1, 3, 2, 5, 9, 4, 13, 19, 6, 25, 32, 7, 39, 47, 8, 55, 65, 10, 75, 86, 11, 97, 109, 12, 121, 135, 14, 149, 164, 15 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS We also require that S be a permutation of the natural numbers and the lexicographically earliest sequence with the stated propoerty. LINKS Table of n, a(n) for n=1..30. Eric Angelini, Hilbert Hotel and 3k rooms E. Angelini, Hilbert Hotel and 3k rooms [Cached copy, with permission] EXAMPLE Here is S: S = ...1,3,2,5,9,4,13,19,6,25,32,7,39,47,8,55,65,10,75,86,11,97,109,12,121 The terms 2,4,6,7, ... move 3 places left. After the moves we have: D = .2,1,3,4,5,9,6,13,19,7,25,32,8,39,47,10,55,65,11,75,86,12,97,109,14,121 and D indeed gives the absolute values of the first differences of S. CROSSREFS Sequence in context: A169755 A169748 A280875 * A116627 A254331 A210742 Adjacent sequences: A173698 A173699 A173700 * A173702 A173703 A173704 KEYWORD nonn,more AUTHOR Eric Angelini, Nov 25 2010 STATUS approved

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Last modified February 29 16:27 EST 2024. Contains 370425 sequences. (Running on oeis4.)