A128935 - OEIS

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A128935

Fibonacci(5^n) / 5^n.

1, 1, 3001, 475400918060101145703001, 29642179764875707696452732234250095350341524541114277856812964100763567848899514572925690068090872073476146381237687662210078001 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`Numbers n such that n divides Fibonacci(n) are listed in A023172(n) = {1,5,12,24,25,36,48,60,72,96,108,120,125,...}. All powers of 5 belong to A023172(n). 5^n divides Fibonacci(5^n). Mod[ a(n), 1000 ] = 1. a(n+1)/a(n) = {1, 3001, 158414167964045700001, 62351961552434956321060201440347372028390478647963811251289490034177804212636326088548682319305439375001, ...}.`
	FORMULA	`a(n) = Fibonacci[ 5^n ] / 5^n.`
	MATHEMATICA	`Table[ Fibonacci[ 5^n ] / 5^n, {n, 0, 4} ]`
	CROSSREFS	`Cf. A023172, A121169, A121170, A058635, A045529.` `Sequence in context: A158861 A202097 A156655 * A145304 A094336 A100896` `Adjacent sequences: A128932 A128933 A128934 * A128936 A128937 A128938`
	KEYWORD	`nonn`
	AUTHOR	`Alexander Adamchuk (alex(AT)kolmogorov.com), May 11 2007`

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.