id:A075830 - OEIS Search Results

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

+0
5

0, 1, 1, 5, 7, 47, 37, 319, 533, 1879, 1627, 20417, 18107, 263111, 237371, 52279, 95549, 1768477, 1632341, 33464927, 155685007, 166770367, 156188887, 3825136961, 3602044091, 19081066231, 18051406831, 57128792093, 7751493599 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`for x real >0 lim n -> infinity abs(u(n)-n) = (x-1)/(1+(x-1)*ln(2))`
	PROGRAM	`(PARI) u(n)=if(n<2, x, (n-1)^2/u(n-1)+1); a(n)=polcoeff(denominator(u(n)), 1, x)`
	CROSSREFS	`Apart from leading term, same as A058313.` `Cf. A075827 A075828 A075829` `Sequence in context: A064082 A090520 A066219 this_sequence A058313 A120301 A119787` `Adjacent sequences: A075827 A075828 A075829 this_sequence A075831 A075832 A075833`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 14 2002`

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

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