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 A270641 The sequence a of 1's and 2's starting with (1,1,1,1) such that a(n) is the length of the (n+1)st run of a. 8
 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Guide to related sequences (with adjustments for initial terms): 1, 1, 1, 1; a(n) = length of (n + 1)st run of a; A270641 1, 1, 1, 2; a(n) = length of (n + 2)nd run of a; A270641 1, 1, 2, 1; a(n) = length of (n + 3)rd run of a; A270641 1, 1, 2, 2; a(n) = length of (n + 2)nd run of a; A270642 1, 2, 1, 1; a(n) = length of (n + 3)rd run of a; A022300 1, 2, 1, 2; a(n) = length of (n + 4)th run of a; A270641 1, 2, 2, 1; a(n) = length of (n + 3)rd run of a; A270643 1, 2, 2, 2; a(n) = length of (n + 2)nd run of a; A270644 2, 1, 1, 1; a(n) = length of (n + 2)nd run of a; A270645 2, 1, 1, 2; a(n) = length of (n + 3)rd run of a; A222300 2, 1, 2, 1; a(n) = length of (n + 4)th run of a; A270641 2, 1, 2, 2; a(n) = length of (n + 3)rd run of a; A000002 (Kolakoski) 2, 2, 1, 1; a(n) = length of (n + 2)nd run of a; A270646 2, 2, 1, 2; a(n) = length of (n + 3)rd run of a; A270647 2, 2, 2, 1; a(n) = length of (n + 2)nd run of a; A270644 2, 2, 2, 2; a(n) = length of (n + 1)st run of a; A270648 LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE a(1) = 1, so the 2nd run has length 1, so a(5) must be 2 and a(6) = 1. a(2) = 1, so the 3rd run has length 1, so a(7) = 2. a(3) = 1, so the 4th run has length 1, so a(8) = 1. a(4) = 1, so the 5th run has length 1, so a(9) = 2. a(5) = 2, so the 6th run has length 2, so a(10) = 2 and a(11) = 1. Globally, the runlength sequence of a is 4,1,1,1,1,2,1,2,1,2,2,1,...., and deleting the first term leaves a = A270641. MATHEMATICA a = {1, 1, 1, 1}; Do[a = Join[a, ConstantArray[If[Last[a] == 1, 2, 1], {a[[n]]}]], {n, 200}]; a (* Peter J. C. Moses, Apr 01 2016 *) CROSSREFS Cf. A000002, A006928, A022300, Sequence in context: A080573 A186440 A006340 * A076371 A175044 A106149 Adjacent sequences: A270638 A270639 A270640 * A270642 A270643 A270644 KEYWORD nonn,easy AUTHOR Clark Kimberling, Apr 05 2016 STATUS approved

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Last modified April 12 07:50 EDT 2024. Contains 371625 sequences. (Running on oeis4.)