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A107638 Order of appearance of ones in the Fibonacci substitution :triangular in form. 0
1, 1, 1, 3, 1, 3, 4, 1, 3, 4, 1, 3, 4, 6, 1, 3, 4, 6, 1, 3, 4, 6, 8, 1, 3, 4, 6, 8, 9, 1, 3, 4, 6, 8, 9, 1, 3, 4, 6, 8, 9, 11, 1, 3, 4, 6, 8, 9, 11, 12, 1, 3, 4, 6, 8, 9, 11, 12, 1, 3, 4, 6, 8, 9, 11, 12, 14, 1, 3, 4, 6, 8, 9, 11, 12, 14, 1, 3, 4, 6, 8, 9, 11, 12, 14, 16, 1, 3, 4, 6, 8, 9, 11, 12, 14 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Fibonacci substitutions contain three types of information: 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..94.

FORMULA

1->{1, 2}, (Correction) 2->{1}

EXAMPLE

1

1

1,3

1,3,4

1,3,4

1,3,4,6

1,3,4,6,

1,3,4,6,8

1,3,4,6,8,9

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]] == 1, j, {}], {j, 1, i}]], {i, 1, 20}]

CROSSREFS

Cf. A000045.

Sequence in context: A030708 A095709 A076152 * A245093 A104765 A308690

Adjacent sequences:  A107635 A107636 A107637 * A107639 A107640 A107641

KEYWORD

nonn,uned,tabl

AUTHOR

Roger L. Bagula, Jun 09 2005

STATUS

approved

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Last modified September 25 15:31 EDT 2020. Contains 337344 sequences. (Running on oeis4.)