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A287518 Positions of 1 in A287516. 4

%I #5 May 30 2017 18:17:14

%S 2,4,9,10,14,18,20,24,25,28,32,36,38,40,45,47,51,52,56,58,63,65,69,70,

%T 73,77,81,82,86,90,92,94,99,101,105,106,110,112,117,118,122,126,128,

%U 132,133,137,139,144,146,150,151,154,158,162,164,166,171,172,176

%N Positions of 1 in A287516.

%C a(n) - a(n-1) is in {1, 2, 3, 4, 5} for n >= 1; also, 3n - a(n) is in {0, 1} for n >= 1. The first 20 numbers 3n - a(n) are 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, with 0 in positions given by A287518.

%H Clark Kimberling, <a href="/A287518/b287518.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{1, 0, 2}, 2->{0, 2, 1}}] &, {0}, 9]; (*A287516*)

%t Flatten[Position[s, 0]]; (*A287517*)

%t Flatten[Position[s, 1]]; (*A287518*)

%t Flatten[Position[s, 2]]; (*A189630*)

%Y Cf. A287516, A287517, A189630.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 30 2017

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