A086382 - OEIS

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A086382

k divides F(k*n^2+1)-F(k+1) for 1<=k<=a(n) where F(k) is the k-th Fibonacci number.

2, 1, 2, 10, 1, 10, 2, 1, 2, 12, 1, 10, 2, 1, 2, 10, 1, 12, 2, 1, 2, 10, 1, 10, 2, 1, 2, 16, 1, 12, 2, 1, 2, 10, 1, 10, 2, 1, 2, 16, 1, 10, 2, 1, 2, 10, 1, 12, 2, 1, 2, 10, 1, 10, 2, 1, 2, 12, 1, 12, 2, 1, 2, 10, 1, 10, 2, 1, 2, 36, 1, 10, 2, 1, 2, 10, 1, 12, 2, 1, 2, 10, 1, 10, 2, 1, 2, 12, 1, 12 (list; graph; refs; listen; history; internal format)

	OFFSET	`2,1`
	FORMULA	`a(3n)=1; a( A047235(n))=2`
	PROG	`(PARI) a(n)=if(n<0, 0, m=1; while((fibonacci(m*n^2+1)-fibonacci(m+1))%m==0, m++); m-1)`
	CROSSREFS	`Sequence in context: A173159 A002079 A078357 * A062345 A077098 A069238` `Adjacent sequences: A086379 A086380 A086381 * A086383 A086384 A086385`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 06 2003`

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Last modified February 16 19:05 EST 2012. Contains 205943 sequences.