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 A181108 Array whose rows result from iterating an algorithm that carries the natural numbers to the lower Wythoff sequence. 2
 1, 2, 1, 3, 3, 1, 4, 4, 3, 1, 5, 6, 4, 3, 1, 6, 8, 5, 4, 3, 1, 7, 9, 7, 5, 4, 3, 1, 8, 11, 9, 7, 5, 4, 3, 1, 9, 12, 10, 9, 7, 5, 4, 3, 1, 10, 14, 12, 11, 9, 7, 5, 4, 3, 1, 11, 16, 14, 12, 11, 9, 7, 5, 4, 3, 1, 12, 17, 16, 13, 12, 11, 9, 7, 5, 4, 3, 1, 13, 19, 17, 15, 13, 12, 11, 9, 7, 5, 4, 3, 1, 14, 21 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row 1: A000027 (natural numbers) Row 2: A000201 (lower Wythoff sequence) limit-row: A003159 LINKS FORMULA To generate row n+1 from row n, let (row n) = (s(1), s(2), s(3), ...) (row n+1) = (t(1), t(2), t(3), ...) Then for k=1,2,3,..., let t(k) = least positive integer not yet in sequences t or u u(k) = t(k) + s(k). EXAMPLE Northwest corner: 1...2...3...4...5...6...7....8....9... 1...3...4...6...8...9...11...12...14... 1...3...4...5...7...9...10...12...14... 1...3...4...5...7...9...11...12...13... To get row 2 from row 1: s: 1...2...3...4...5....6....7... t: 1...3...4...6...8....9....11... u: 2...5...7...10..13...15...18... To get row 3 from row 2: s: 1...3...4...6....8....9....11 t: 1...3...4...5....7....9....10 u: 2...6...8...11...15...18...21 CROSSREFS Cf. A000201, A181108. Sequence in context: A115131 A263916 A210258 * A211782 A211701 A183110 Adjacent sequences:  A181105 A181106 A181107 * A181109 A181110 A181111 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Oct 03 2010 STATUS approved

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Last modified December 12 05:15 EST 2018. Contains 318052 sequences. (Running on oeis4.)