login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A166253 String substitution 0 -> 01110, 1 -> 10001, started with 1. 1
1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Connected to the Koch curve by doing the following repeatedly: Go one step; turn left if there is 01 or 10 in S and right if there is 00 or 11 in S. Go to the next element of the sequence.

LINKS

Table of n, a(n) for n=1..135.

FORMULA

s(0)=0,1,1,1,0 and s(1)=1,0,0,0,1 Then S = lim s^n (n to infinity)

MATHEMATICA

s[0] = {0, 1, 1, 1, 0}; s[1] = {1, 0, 0, 0, 1}; sf[l_] := Module[{out = {}}, For[i = 1, i <= Length[l], i++, next = l[[i]]; AppendTo[out, s[next]]]; Return[Flatten[out]]] k = 7; e = {0}; For[m = 1, m <= k, m++, e = sf[e]]; e

CROSSREFS

Sequence in context: A267868 A288733 A095111 * A159638 A187615 A120528

Adjacent sequences:  A166250 A166251 A166252 * A166254 A166255 A166256

KEYWORD

nonn,uned

AUTHOR

Stephan Rosebrock (rosebrock(AT)ph-karlsruhe.de), Oct 10 2009

EXTENSIONS

a(25+) corrected by Ryan Hendrickson, Apr 10 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 20 14:54 EST 2019. Contains 329337 sequences. (Running on oeis4.)