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 A319103 a(n) is the least k > 0 such that A318928(k) = n. 4
 1, 3, 2, 4, 11, 18, 75, 621, 9638, 1264052, 1294752365, 20699153586797, 43409394810283725529 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This sequence is well defined and infinite: - for any n > 1, we can build a number m such that A318928(m) = 1 + A318928(n), - let (b_1, ..., b_k) be the binary representation of n, - let r_1 = 1, and for i = 1..k-1: r_{i+1} = r_i if b_{i+1} = b_i and r_{i+1} = 2 - r_i otherwise, - the number m whose run lengths in binary representation are (r_1, ..., r_k) satisfies A318928(m) = 1 + A318928(n). a(11) <= 42414573279593. Here A318928(1) is considered to be 0, which differs from the current definition of A318928. However, I think it is quite natural to define A318928(1) to be 0. - Hiroaki Yamanouchi, Sep 22 2018 LINKS Rémy Sigrist, PARI program for A319103 EXAMPLE The first terms of A318928, alongside the corresponding terms in this sequence, are:   n   A318928(n)  Corresponding terms   --  ----------  -------------------    1           0  a(0) = 1    2           2  a(2) = 2    3           1  a(1) = 3    4           3  a(3) = 4    5           2    6           3    7           1    8           3    9           3   10           2   11           4  a(4) = 11   12           2   13           4 PROG (PARI) See Links section. CROSSREFS Cf. A318928. See A319417, A319418 for record values in A318928. Sequence in context: A266189 A277743 A296099 * A290333 A137824 A019321 Adjacent sequences:  A319100 A319101 A319102 * A319104 A319105 A319106 KEYWORD nonn,base,more AUTHOR Rémy Sigrist, Sep 10 2018 EXTENSIONS a(11)-a(12) from Hiroaki Yamanouchi, Sep 22 2018 STATUS approved

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Last modified March 20 09:23 EDT 2019. Contains 321345 sequences. (Running on oeis4.)