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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A105056 Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->4, 4->{4,4,7,5}, 5->6, 6->7, 7->8, 8->{8,8,3,1}. First row is 1. If current row is a,b,c,..., then the next row is a,b,c,...,f(a),f(b),f(c),... 1
1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 4, 4, 7, 5, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 4, 4, 7, 5, 2, 3, 3, 4, 3, 4, 4, 4, 4, 7, 5, 3, 4, 4, 4, 4, 7, 5, 4, 4, 4, 7, 5, 4, 4, 7, 5, 4, 4, 7, 5, 4, 4, 7, 5, 8, 6, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This sequence is the next level of substitution suggested in section 6 of the Kenyon paper. A tile exists at this level as well.

LINKS

Table of n, a(n) for n=0..104.

Richard Kenyon, The Construction of Self-Similar Tilings

MATHEMATICA

s[n_] := n /. {1 -> 2, 2 -> 3, 3 -> 4, 4 -> {4, 4, 7, 5}, 5 -> 6, 6 -> 7, 7 -> 8, 8 -> {8, 8, 3, 1}}; t[a_] := Join[a, Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 6]]

CROSSREFS

Cf. A000120, A073058.

Sequence in context: A105112 A105113 A207328 * A105061 A105164 A000120

Adjacent sequences:  A105053 A105054 A105055 * A105057 A105058 A105059

KEYWORD

nonn,tabf

AUTHOR

Roger L. Bagula, Apr 04 2005

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 15 07:26 EDT 2018. Contains 313756 sequences. (Running on oeis4.)