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Positions of 1 in A287451.
5

%I #4 May 30 2017 12:15:16

%S 2,6,7,10,14,18,21,22,26,30,31,35,38,42,43,46,50,54,55,59,63,66,67,71,

%T 74,78,79,82,86,90,93,94,98,101,105,106,110,114,115,118,122,126,129,

%U 130,134,138,139,143,146,150,151,154,158,162,165,166,170,173,177

%N Positions of 1 in A287451.

%C a(n) - a(n-1) is in {1, 3, 4} for n >= 1; also, 3n - a(n) is in {0, 1, 2} for n >= 1. The first 20 numbers 3n - a(n) are 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, with 0 in positions given by A287453, 1 in positions given by A287452, and 2 in positions given by A287454.

%H Clark Kimberling, <a href="/A287453/b287453.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{2, 0, 1}, 2->{1, 2, 0}}] &, {0}, 9]; (*A287451*)

%t Flatten[Position[s, 0]]; (*A287452*)

%t Flatten[Position[s, 1]]; (*A287453*)

%t Flatten[Position[s, 2]]; (*A287454*)

%Y Cf. A287451, A287452, A287454.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 30 2017