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A119789 Fibonacci Logarithms used to get a triangular array. 0
0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 4, 3, 3, 3, 4, 5, 6, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 6, 7, 8, 9, 10, 6, 6, 6, 7, 8, 9, 10, 11, 12, 7, 7, 7, 8, 9, 10, 11, 12, 13, 14, 8, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,10

COMMENTS

Sequence suggested by Fibonacci multiplication.

LINKS

Table of n, a(n) for n=0..65.

FORMULA

Definition of Fibonacci logarithm such that after Fibonacci[1],f[n]+2->n: f[n_] = If[n == 0, 0, Floor[Log[Fibonacci[n]]/Log[GoldenRatio]]] a(n) = f[n]+f[m].

EXAMPLE

0

0, 0

0, 0, 0

1, 1, 1, 2

2, 2, 2, 3, 4

3, 3, 3, 4, 5, 6

MATHEMATICA

f[n_] = If[n == 0, 0, Floor[Log[Fibonacci[n]]/Log[GoldenRatio]]] b = Table[Table[f[n] + f[m], {n, 0, m}], {m, 0, 10}] MatrixForm[b]

CROSSREFS

Cf. A035517, A000045.

Sequence in context: A322789 A069904 A164978 * A025424 A216505 A265626

Adjacent sequences:  A119786 A119787 A119788 * A119790 A119791 A119792

KEYWORD

nonn,uned,tabl

AUTHOR

Roger L. Bagula, Jul 30 2006

STATUS

approved

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Last modified October 14 12:31 EDT 2019. Contains 328006 sequences. (Running on oeis4.)