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A287522 Positions of 1 in A287520. 4

%I #5 May 30 2017 18:17:33

%S 2,4,7,10,14,16,19,22,26,28,32,34,38,40,43,46,49,53,55,59,61,64,67,71,

%T 74,76,79,82,86,88,92,94,97,100,103,107,110,112,115,118,122,124,127,

%U 130,134,136,140,142,145,148,152,155,157,160,163,167,169,173,175

%N Positions of 1 in A287520.

%C a(n) - a(n-1) is in {2, 3, 4} for n >= 1; also, 3n - a(n) is in {1, 2} for n >= 1. The first 20 numbers 3n - a(n) are 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, with 1 in positions given by A287521.

%H Clark Kimberling, <a href="/A287522/b287522.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{1, 0, 2}, 2->{1, 2, 0}}] &, {0}, 9]; (*A287520*)

%t Flatten[Position[s, 0]]; (*A287521*)

%t Flatten[Position[s, 1]]; (*A287522*)

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

%Y Cf. A287520, A287521, A189630.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 30 2017

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