cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A286988 Positions of 0 in A286987; complement of A286989.

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%I A286988 #4 May 18 2017 21:47:57
%S A286988 3,6,8,11,13,16,19,21,24,26,29,32,34,37,39,42,44,47,50,52,55,57,60,63,
%T A286988 65,68,70,73,75,78,81,83,86,88,91,94,96,99,101,104,107,109,112,114,
%U A286988 117,119,122,125,127,130,132,135,138,140,143,145,148,150,153,156
%N A286988 Positions of 0 in A286987; complement of A286989.
%C A286988 a(n) - a(n-1) is in {2,3} for n>=2, and a(n)/n -> 4 - sqrt(8).
%H A286988 Clark Kimberling, <a href="/A286988/b286988.txt">Table of n, a(n) for n = 1..10000</a>
%e A286988 As a word, A286987 = 1101101011010110110101..., in which 0 is in positions 3,6,8,11,....
%t A286988 s = Nest[Flatten[# /. {0 -> 1, 1 -> {1, 1, 0}}] &, {1}, 11]; (* Sturmian word A080764 *)
%t A286988 w = StringJoin[Map[ToString, s]];
%t A286988 w1 = StringReplace[w, {"111" -> "1"}]
%t A286988 st = ToCharacterCode[w1] - 48 ; (* A286987 *)
%t A286988 Flatten[Position[st, 0]];  (* A286988 *)
%t A286988 Flatten[Position[st, 1]];  (* A286989 *)
%Y A286988 Cf. A080764, A286987, A286989.
%K A286988 nonn,easy
%O A286988 1,1
%A A286988 _Clark Kimberling_, May 18 2017