id:A041030 - OEIS Search Results

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Numerators of continued fraction convergents to sqrt(20).

+0
2

4, 9, 76, 161, 1364, 2889, 24476, 51841, 439204, 930249, 7881196, 16692641, 141422324, 299537289, 2537720636, 5374978561, 45537549124, 96450076809, 817138163596, 1730726404001, 14662949395604 (list; graph; listen)

	OFFSET	`0,1`
	FORMULA	`a(2n-1) = ceil(1/(4/(Fibonacci(6n)sqrt(5)-lucas(6n)+2)-2)), a(2n) = ceil(1/(1-2/(Fibonacci(6n+3)sqrt(5)-lucas(6n+3)+2))-2). - Thomas Baruchel - baruchel(AT)users.sourceforge.net`
	CROSSREFS	`Cf. A041031, A087953.` `Adjacent sequences: A041027 A041028 A041029 this_sequence A041031 A041032 A041033` `Sequence in context: A041777 A100517 A041597 this_sequence A061104 A082381 A077530`
	KEYWORD	`nonn,cofr,easy`
	AUTHOR	`njas`

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Last modified October 5 16:50 EDT 2008. Contains 144613 sequences.

AT&T Labs Research