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A288999 Positions of 1 in A288997; complement of A288998. 3
3, 7, 10, 14, 17, 20, 24, 27, 31, 34, 37, 41, 44, 48, 51, 55, 58, 61, 65, 68, 72, 75, 78, 82, 85, 89, 92, 96, 99, 102, 106, 109, 113, 116, 119, 123, 126, 130, 133, 136, 140, 143, 147, 150, 154, 157, 160, 164, 167, 171, 174, 177, 181, 184, 188, 191, 195, 198 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Conjecture:  a(n)/n -> 2 + sqrt(2), and -1 < 2 + sqrt(2) - a(n)/n < -1 + sqrt(2) for n >= 1.

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

MATHEMATICA

z = 10; (* number of iterates *)

s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];

w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "001", "10" -> "001"}]

TableForm[Table[w[n], {n, 0, 10}]]

st = ToCharacterCode[w[z]] - 48   (* A288997 *)

Flatten[Position[st, 0]]  (* A288998 *)

Flatten[Position[st, 1]]  (* A288999 *)

CROSSREFS

Cf. A288997, A288998.

Sequence in context: A289114 A289027 A027704 * A310187 A198268 A047355

Adjacent sequences:  A288996 A288997 A288998 * A289000 A289001 A289002

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 25 2017

STATUS

approved

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Last modified January 24 09:43 EST 2022. Contains 350534 sequences. (Running on oeis4.)