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A287400 Positions of 2 in A287397. 5

%I #4 May 25 2017 17:53:53

%S 3,4,9,12,13,18,19,24,27,28,33,36,39,40,45,48,49,54,57,58,63,66,67,72,

%T 73,78,81,84,85,90,93,94,99,100,105,108,109,114,117,120,121,126,129,

%U 130,135,138,139,144,147,148,153,154,159,162,163,168,171,174,175

%N Positions of 2 in A287397.

%C a(n) - a(n-1) is in {1,3,5} for n >= 1; also, 3n - a(n) is in {0, 2} for n >= 1. The first 20 numbers 3n - a(n) are 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, with 2 in positions given by A287399.

%H Clark Kimberling, <a href="/A287400/b287400.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{2, 1, 0}, 2->{1, 0, 2}}] &, {0}, 9]; (*A287397*)

%t Flatten[Position[s, 0]]; (*A287398*)

%t Flatten[Position[s, 1]]; (*A287399*)

%t Flatten[Position[s, 2]]; (*A287400*)

%Y Cf. A287397, A287398, A287399.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 25 2017

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