A041510 - OEIS

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A041510

Numerators of continued fraction convergents to sqrt(272).

16, 33, 1072, 2177, 70736, 143649, 4667504, 9478657, 307984528, 625447713, 20322311344, 41270070401, 1340964564176, 2723199198753, 88483338924272, 179689877047297, 5838559404437776, 11856808685922849, 385256437353968944, 782369683393860737 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,1`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 0..200` `Index entries for linear recurrences with constant coefficients, signature (0,66,0,-1).`
	FORMULA	`G.f.: -(x+1)(x^2-17x-16) / ((x^2-8x-1)(x^2+8*x-1)). - Colin Barker, Nov 07 2013`
	MATHEMATICA	`Numerator[Convergents[Sqrt[272], 30]] (* Vincenzo Librandi, Nov 03 2013 *)`
	CROSSREFS	`Cf. A041511.` `Sequence in context: A041506 A041508 A144533 * A070590 A132370 A185467` `Adjacent sequences: A041507 A041508 A041509 * A041511 A041512 A041513`
	KEYWORD	`nonn,cofr,frac,easy`
	AUTHOR	`N. J. A. Sloane.`
	EXTENSIONS	`More terms from Colin Barker, Nov 07 2013`
	STATUS	`approved`

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Last modified December 4 16:44 EST 2023. Contains 367563 sequences. (Running on oeis4.)