A287558 - OEIS

%I #4 May 31 2017 16:14:31

%S 2,5,11,16,17,23,28,30,36,38,41,47,51,56,58,61,65,71,76,78,84,86,89,

%T 95,99,104,106,109,114,117,123,128,131,136,138,141,146,149,155,160,

%U 161,167,172,174,180,182,185,191,196,198,201,207,211,216,218,221,226

%N Positions of 1 in A287556.

%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 2, 3, 1, 0, 3, 1, 0, 2, 0, 2, 3, 1, 1, 0, 2, 3, 3, 1, 0, 2, with

%C 0 in positions given by A287559,

%C 1 in positions given by A287560,

%C 2 in positions given by A287557,

%C 3 in positions given by A287558.

%H Clark Kimberling, <a href="/A287558/b287558.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {0, 1, 3, 2}, 1 -> {1, 3, 2, 0}, 2 -> {3, 2, 0, 1}, 3 -> {2, 0, 1, 3}}] &, {0}, 9];   (* A287556 *)

%t Flatten[Position[s, 0]]; (* A287557 *)

%t Flatten[Position[s, 1]]; (* A287558 *)

%t Flatten[Position[s, 2]]; (* A287559 *)

%t Flatten[Position[s, 3]]; (* A287560 *)

%Y Cf. A287556, A287557, A287559, A287560.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 31 2017