id:A075828 - 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+a(n))/(c(n)*x+d(n)).

+0
4

0, 1, 1, 10, 13, 138, 101, 1228, 1923, 8930, 7303, 115356, 97249, 1721846, 1484475, 388760, 681971, 14725926, 13093585, 308430212, 1386466053, 1685280806, 1529091919, 42052434936, 38450390845, 226713176794, 208661769963 (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(numerator(u(n)), 0, x)`
	CROSSREFS	`Cf. A075827 A075829 A075830` `Sequence in context: A154142 A108761 A164766 this_sequence A153584 A053612 A072146` `Adjacent sequences: A075825 A075826 A075827 this_sequence A075829 A075830 A075831`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 14 2002`

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Last modified December 9 14:43 EST 2009. Contains 170430 sequences.

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