Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A108121
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A108121 A three-symbol substitution sequence with characteristic polynomial: x^3-x^2-2*x-1. +0
1
3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2 (list; graph; listen)
OFFSET

0,1

COMMENT

This substitution is unique in that it gives a two part tile that only tiles aperiodically.

FORMULA

1->{2}, 2->{3}, 3->{1, 2, 2, 3}

MATHEMATICA

s[1] = {2}; s[2] = {3}; s[3] = {1, 2, 2, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[8]

CROSSREFS

Sequence in context: A029418 A085247 A003016 this_sequence A072548 A079399 A092155

Adjacent sequences: A108118 A108119 A108120 this_sequence A108122 A108123 A108124

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 04 2005

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


AT&T Labs Research