A059793 - OEIS

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A059793

Stationary value of quotient in the continued fraction expansion of sqrt(prime) when the quotient-cycle-length = 1.

2, 4, 8, 12, 20, 28, 32, 40, 48, 52, 72, 80, 108, 112, 132, 148, 168, 180, 188, 220, 232, 240, 248, 252, 260, 268, 292, 300, 312, 320, 340, 352, 360, 368, 408, 412, 420, 448, 460, 472, 480, 500, 512, 520, 528, 540, 560, 568, 600, 612, 628, 652, 680, 700, 768 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	LINKS	`R. Knott, An Introduction to Continued Fractions`
	FORMULA	`a(n)=2*A005574(n) For n=Sqrt(p) the transient is n, the stationary quotient is 2n.`
	EXAMPLE	cfrac(sqrt(577),5); 24+1/(48+1/(48+1/(48+1/(48+1/(48+`...`))))) thus a(9)=48=2*A005574(9)
	CROSSREFS	`Cf. A005574, A002496.` `Sequence in context: A206350 A127405 A136034 * A118029 A049322 A014557` `Adjacent sequences: A059790 A059791 A059792 * A059794 A059795 A059796`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Feb 22 2001`

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.