A105061 Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->4, 4->5, 5->{5,5,9,6}, 6->7, 7->8, 8->9, 9->10, 10->{10,10,4,1}. 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, 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, 5, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 9, 6, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 9, 6, 2, 3, 3, 4

Offset

1,3

Comments

Level five bi-Kenyon substitution sequence.

Links

Table of n, a(n) for n=1..105.

Richard Kenyon, The Construction of Self-Similar Tilings

Mathematica

s[n_] := n /. {1 -> 2, 2 -> 3, 3 -> 4, 4 -> 5, 5 -> {5, 5, 9, 6}, 6 -> 7, 7 -> 8, 8 -> 9, 9 -> 10, 10 -> {10, 10, 4, 1}}; t[a_] := Join[a, Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 6]]

Crossrefs

Cf. A000120, A073058.

Sequence in context: A105113 A207328 A105056 * A105164 A000120 A105062

Adjacent sequences: A105058 A105059 A105060 * A105062 A105063 A105064

Keyword

nonn,tabf

Author

Roger L. Bagula, Apr 05 2005

Status

approved