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 A334749 A fractal sequence produced by interleaving the sequence with its own ordinal transform. 1
 1, 1, 1, 2, 1, 3, 2, 1, 1, 4, 3, 1, 2, 2, 1, 5, 1, 6, 4, 1, 3, 2, 1, 7, 2, 3, 2, 4, 1, 8, 5, 1, 1, 9, 6, 1, 4, 2, 1, 10, 3, 3, 2, 5, 1, 11, 7, 1, 2, 6, 3, 4, 2, 7, 4, 3, 1, 12, 8, 1, 5, 2, 1, 13, 1, 14, 9, 1, 6, 2, 1, 15, 4, 4, 2, 8, 1, 16, 10, 1, 3, 5, 3, 6, 2, 9, 5, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS The odd bisection is the sequence itself. The even bisection is the ordinal transform of the sequence. If a(1) is 1, the other terms follow from the above constraints. LINKS Samuel B. Reid, Table of n, a(n) for n = 1..10000 Samuel B. Reid, Python program for A334749 EXAMPLE The first 5 terms of the sequence: 1, 1, 1, 2, 1, ... The first 5 terms of its ordinal transform: 1, 2, 3, 1, 4, ... If these terms are interleaved, we get: 1, 1, 1, 2, 1, 3, 2, 1, 1, 4, ... PROG (Python) See Links section. CROSSREFS Cf. A000120, A002487, A003603. Sequence in context: A272729 A064034 A231635 * A266640 A065120 A176206 Adjacent sequences:  A334746 A334747 A334748 * A334750 A334751 A334752 KEYWORD nonn AUTHOR Samuel B. Reid, Jun 13 2020 STATUS approved

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Last modified May 18 04:22 EDT 2021. Contains 343994 sequences. (Running on oeis4.)