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A072912 Number of Fibonacci numbers F(k) <= 10^n which end in 0. 1
1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 25 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..77.

FORMULA

a(n) = ceiling(n*log(10)/(15*log(phi))) +0 or +1.

EXAMPLE

a(2)=6 because there are 6 Fibonacci numbers F(k) <= 10^2 which end in 0.

PROG

(PARI) a(n) = (sum(i=0, ceil(n*log(10)/log((1+sqrt(5))/2)), if(fibonacci(i)%10+1+sign(fibonacci(i)-10^n), 0, 1)))

CROSSREFS

Different from A002280.

Cf. A008597, A214855.

Sequence in context: A194920 A327440 A285588 * A025786 A085886 A088676

Adjacent sequences:  A072909 A072910 A072911 * A072913 A072914 A072915

KEYWORD

base,nonn

AUTHOR

Shyam Sunder Gupta and Benoit Cloitre, Aug 15 2002

STATUS

approved

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Last modified January 24 21:49 EST 2022. Contains 350565 sequences. (Running on oeis4.)