A107604 Order of appearance of twos in the Fibonacci substitution :triangular in form.

2, 2, 2, 2, 5, 2, 5, 2, 5, 7, 2, 5, 7, 2, 5, 7, 2, 5, 7, 10, 2, 5, 7, 10, 2, 5, 7, 10, 2, 5, 7, 10, 13, 2, 5, 7, 10, 13, 2, 5, 7, 10, 13, 15, 2, 5, 7, 10, 13, 15, 2, 5, 7, 10, 13, 15, 2, 5, 7, 10, 13, 15, 18, 2, 5, 7, 10, 13, 15, 18, 2, 5, 7, 10, 13, 15, 18, 20

Offset

0,1

Comments

Fibonacci substitutions contain thrre types of informstion: 1) length 2) count of ones and twos 3) order of appearance of ones and twos

Links

Table of n, a(n) for n=0..77.

Formula

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

Example

{}
2,
2,
2,
2,5,
2,5,
2,5,7,
2,5,7,
2,5,7,
2,5,7,10,
2,5,7,10,
2,5,7,10,
2,5,7,10,13

Mathematica

s[1] = {1, 2}; s[2] = {1};; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] a = Table[Flatten[Table[If[p[i][[j]] == 2, j, {}], {j, 1, i}]], {i, 1, 20}]

Crossrefs

Cf. A000045.

Sequence in context: A154097 A221491 A224254 * A080647 A324516 A181058

Adjacent sequences: A107601 A107602 A107603 * A107605 A107606 A107607

Keyword

nonn,uned,tabl

Author

Roger L. Bagula, Jun 09 2005

Status

approved