

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
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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



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



KEYWORD

nonn,uned,tabf


AUTHOR



STATUS

approved



