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A107604 Order of appearance of twos in the Fibonacci substitution :triangular in form. 0
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 2 11:35 EDT 2020. Contains 334771 sequences. (Running on oeis4.)