login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Positions of 2 in A053838.
4

%I #12 Jun 14 2017 11:22:14

%S 3,5,7,11,13,18,19,24,26,29,31,36,37,42,44,48,50,52,55,60,62,66,68,70,

%T 74,76,81,83,85,90,91,96,98,102,104,106,109,114,116,120,122,124,128,

%U 130,135,138,140,142,146,148,153,154,159,161,163,168,170,174,176

%N Positions of 2 in A053838.

%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.

%C Does this differ from A026603? - _R. J. Mathar_, Jun 14 2017

%H Clark Kimberling, <a href="/A287437/b287437.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) + A053838(n-1) = 3n.

%t s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{1, 2, 0}, 2->{2, 0, 1}}] &, {0}, 9]; (*A053838*)

%t Flatten[Position[s, 0]]; (*A287435*)

%t Flatten[Position[s, 1]]; (*A287436*)

%t Flatten[Position[s, 2]]; (*A287437*)

%Y Cf. A053838, A287435, A287436.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 26 2017

%E The definition refers to a different offset in A053838. - _R. J. Mathar_, May 30 2017