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A288622 0-limiting word of the mapping 00->0110, 1->01, starting with 00. 4
0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Iterates, starting with 00:

00

0110

001010

0110010010

001010110010110010

01100100100101011001001010110010

0010101100101100101100100100101011001011001001001010110010

Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A288465(n).

LINKS

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

MATHEMATICA

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

w[n_] := StringReplace[w[n - 1], {"00" -> "0110", "1" -> "01"}]

Table[w[n], {n, 0, 8}]

st = ToCharacterCode[w[10]] - 48   (* A288622 *)

Flatten[Position[st, 0]]  (* A288623 *)

Flatten[Position[st, 1]]  (* A288624 *)

Table[StringLength[w[n]], {n, 1, 35}] (* A288465 conjectured *)

CROSSREFS

Cf. A288623, A288624, A288465.

Sequence in context: A144608 A327208 A178226 * A095907 A056051 A143541

Adjacent sequences:  A288619 A288620 A288621 * A288623 A288624 A288625

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 14 2017

STATUS

approved

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Last modified January 20 19:22 EST 2021. Contains 340332 sequences. (Running on oeis4.)