A287567 - OEIS

%I #4 May 31 2017 21:24:29

%S 1,7,10,16,18,24,25,31,36,37,43,46,51,54,60,61,68,69,75,78,83,86,92,

%T 93,97,103,106,112,114,120,121,127,131,134,140,141,145,151,154,160,

%U 162,168,169,175,180,181,187,190,194,200,201,207,212,213,219,222,227

%N Positions of 0 in A287566.

%C a(n) - a(n-1) is in {1,2,3,4,5,6,7} for n >= 1; also, 4n - a(n) is in {0,1,2,3} for n >= 1.  The first 20 numbers 4n - a(n) are 3, 1, 2, 0, 2, 0, 3, 1, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, with

%C 0 in positions given by A287568,

%C 1 in positions given by A287569,

%C 2 in positions given by A287570,

%C 3 in positions given by A287567.

%H Clark Kimberling, <a href="/A287567/b287567.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {0, 2, 3, 1}, 1 -> {2, 3, 2, 0}, 2 -> {3, 1, 0, 2}, 3 -> {1, 0, 2, 3}}] &, {0}, 9];   (* A287566 *)

%t Flatten[Position[s, 0]]; (* A287567 *)

%t Flatten[Position[s, 1]]; (* A287568 *)

%t Flatten[Position[s, 2]]; (* A287569 *)

%t Flatten[Position[s, 3]]; (* A287570 *)

%Y Cf. A287566, A287568, A287569, A287570.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, May 31 2017