id:A072912 - OEIS Search Results

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Number of Fibonacci numbers F(k) <= 10^n which end in 0.

+0
2

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; listen)

	OFFSET	`0,4`
	FORMULA	`a(n) =ceil(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.`
	PROGRAM	`(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.` `Sequence in context: A076885 A051889 A086707 this_sequence A025786 A085886 A088676` `Adjacent sequences: A072909 A072910 A072911 this_sequence A072913 A072914 A072915`
	KEYWORD	`base,nonn`
	AUTHOR	`Shyam Sunder Gupta (guptass(AT)rediffmail.com) and Benoit Cloitre, Aug 15 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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