A075827 - OEIS

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A075827

Let u(1)=x, u(n+1)=(n^2/u(n))+1; then u(n)=(a(n)*x+b(n))/(c(n)*x+d(n)).

1, 1, 5, 14, 47, 222, 319, 2132, 5637, 16270, 20417, 217284, 263111, 3323194, 3920925, 764392, 1768477, 29382138, 33464927, 622740028, 3502177707, 3436155514, 3825136961, 86449058184, 95405331155, 469336577606 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,3`
	COMMENTS	`for x real >0 lim n -> infinity abs(u(n)-n) = (x-1)/(1+(x-1)*ln(2))`
	CROSSREFS	`Cf. A075828 A075829 A075830` `Sequence in context: A163608 A081496 A152051 * A134418 A107242 A203164` `Adjacent sequences: A075824 A075825 A075826 * A075828 A075829 A075830`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 14 2002`

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.