A162924 - OEIS

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A162924

Denominators of fractions converging to square root 3 satisfying: a(n)=1/a(n-1)+1/a(n-2)+ 1/a(n-3) or numerators of reciprocal satisfying: a(n)=1/(a(n-1)+ a(n-2)+ a(n-3)) with a(1,2,3)= 1

1, 1, 1, 1, 3, 21, 777 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,5`
	COMMENTS	`For other square roots of positive integers add or subtract more a(n)to formula and start off.`
	EXAMPLE	`For n=5 a(5)= 1/1 + 1/1 + 1/3 = 7/3 (denominator) For n=5 a(5)= 1/(1 + 1 + 1/3) = 3/7 (numerator)`
	CROSSREFS	`For square root 2: A066932, A057677` `Sequence in context: A098918 A001699 A171104 * A057600 A079269 A127104` `Adjacent sequences: A162921 A162922 A162923 * A162925 A162926 A162927`
	KEYWORD	`nonn,changed`
	AUTHOR	`M. Dols (markdols99(AT)yahoo.com), Jul 17 2009`

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Last modified February 15 11:57 EST 2012. Contains 205782 sequences.