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Search: id:A072648
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A072648 a(n) = [log_{Phi}(n*sqrt(5))], where log_{Phi} is logarithm in the base Phi ( = (sqrt(5)+1)/2) and [] stands for the floor function. +0
2
1, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 (list; graph; listen)
OFFSET

1,2

COMMENT

An approximate "inverse" of A000045 (of the Fibonacci numbers).

MAPLE

[seq(floor(log[(sqrt(5)+1)/2](n*sqrt(5))), n=1..120)];

PROGRAM

(Scheme function:) (define (A072648 n) (cond ((zero? n) n) (else (floor->exact (/ (log (* n *Sqrt5*)) *LogPhi*)))))

(define *Sqrt5* (sqrt 5))

(define *Phi* (/ (1+ *Sqrt5*) 2))

(define *LogPhi* (log *Phi*))

CROSSREFS

Used to construct A072649.

Adjacent sequences: A072645 A072646 A072647 this_sequence A072649 A072650 A072651

Sequence in context: A003860 A108216 A064631 this_sequence A072945 A120180 A063197

KEYWORD

nonn

AUTHOR

Antti Karttunen Jun 02 2002

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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