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A137203 Number of Fibonacci numbers less than or equal to n^2. 0
1, 3, 5, 7, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..79.

Planet Math, list of Fibonacci numbers.

FORMULA

a(n) = A108852(n^2). - Michel Marcus, Aug 03 2014

EXAMPLE

When n=1, the number of Fibonacci numbers less than or equal to 1 is 3.

When n=2, the number of Fibonacci numbers less than or equal to 4 is 5.

When n=3, the number of Fibonacci numbers less than or equal to 9 is 7.

When n=4, the number of Fibonacci numbers less than or equal to 16 is 8.

MATHEMATICA

fibPi[n_] := 1 + Floor[ Log[ GoldenRatio, 1 + n*Sqrt@ 5]]; Array[ fibPi[#^2] &, 80, 0] (* Robert G. Wilson v, Aug 03 2014 *)

CROSSREFS

Cf. A000045, A108852.

Sequence in context: A163301 A036593 A086674 * A102890 A008520 A217129

Adjacent sequences:  A137200 A137201 A137202 * A137204 A137205 A137206

KEYWORD

nonn

AUTHOR

Parthasarathy Nambi, Apr 04 2008

EXTENSIONS

Corrected and extended by Robert G. Wilson v, Aug 03 2014

STATUS

approved

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Last modified January 19 14:53 EST 2020. Contains 331049 sequences. (Running on oeis4.)