A287408 - OEIS

%I #4 May 25 2017 17:54:29

%S 1,6,8,11,15,16,20,22,27,29,31,36,38,42,43,46,51,53,56,58,63,64,69,71,

%T 74,78,79,83,85,90,91,96,98,101,105,106,110,112,117,119,123,124,127,

%U 132,134,136,141,143,146,150,151,155,157,162,164,166,171,172,177

%N Positions of 0 in A287407.

%C a(n) - a(n-1) is in {1, 2, 3, 4, 5} for n >= 1; also, 3n - a(n) is in {0, 1, 2} for n >= 1.  The first 20 numbers 3n - a(n) are 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, with 0 in positions given by A287403.

%H Clark Kimberling, <a href="/A287408/b287408.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{2, 1, 0}, 2->{2, 0, 1}}] &, {0}, 9]; (*A287407*)

%t Flatten[Position[s, 0]]; (*A287408*)

%t Flatten[Position[s, 1]]; (*A287409*)

%t Flatten[Position[s, 2]]; (*A287410*)

%Y Cf. A287407, A287409, A287410.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, May 25 2017