A042204 - OEIS

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A042204

Numerators of continued fraction convergents to sqrt(628).

25, 401, 426, 1253, 6691, 28017, 62725, 90742, 244209, 579160, 1981689, 2560849, 9664236, 118531681, 365259279, 483790960, 1816632159, 4117055278, 10050742715, 14167797993, 38386338701, 167713152797 (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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 93397457463698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).`
	FORMULA	`a(n) = 93397457463698*a(n-26) - a(n-52) for n>51. [Bruno Berselli, Nov 19 2013]`
	MATHEMATICA	`Numerator[Convergents[Sqrt[628], 30]] (* Vincenzo Librandi, Nov 19 2013 *)`
	CROSSREFS	`Cf. A042205.` `Sequence in context: A174515 A028116 A028075 * A028112 A238511 A028064` `Adjacent sequences: A042201 A042202 A042203 * A042205 A042206 A042207`
	KEYWORD	`nonn,cofr,frac,easy`
	AUTHOR	`N. J. A. Sloane.`
	STATUS	`approved`

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Last modified April 20 23:46 EDT 2021. Contains 343143 sequences. (Running on oeis4.)