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 A321020 A hybrid of Kolakoski's sequence A000002 and Golomb's sequence A001462: if A001462(n) is odd replace it with 1, if even with 2. 3
 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This is A000002 rewritten so the run lengths are given by A001462. The companion sequence, A001462 rewritten so the run lengths are given by A000002, seems to be A156253. Note that Kolakoski's sequence A000002 and Golomb's sequence A001462 have very similar definitions, although the asymptotic behavior of A001462 is well-understood, while that of A000002 is a mystery. The asymptotic behavior of the two hybrids A156253 and A321020 might be worth investigating. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..25000 N. J. A. Sloane, Coordination Sequences, Planing Numbers, and Other Recent Sequences (II), Experimental Mathematics Seminar, Rutgers University, Jan 31 2019, Part I, Part 2, Slides. (Mentions this sequence) PROG (PARI) a = vector(84, k, k); for (i=1, oo, for (j=1, a[i], a[n++] = i; print1 (2-(i%2) ", "); if (n==#a, break(2)))) \\ Rémy Sigrist, Nov 12 2018 CROSSREFS Cf. A000002, A001462, A156253. Sequence in context: A219966 A103958 A321696 * A204260 A122923 A113971 Adjacent sequences:  A321017 A321018 A321019 * A321021 A321022 A321023 KEYWORD nonn AUTHOR N. J. A. Sloane, Nov 11 2018 STATUS approved

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Last modified November 29 14:52 EST 2020. Contains 338769 sequences. (Running on oeis4.)