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A042236 Numerators of continued fraction convergents to sqrt(644). 2
25, 51, 76, 127, 203, 1345, 1548, 2893, 4441, 11775, 593191, 1198157, 1791348, 2989505, 4780853, 31674623, 36455476, 68130099, 104585575, 277301249, 13969648025, 28216597299, 42186245324, 70402842623, 112589087947, 745937370305, 858526458252, 1604463828557 (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, 23550, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^19 -25*x^18 +51*x^17 -76*x^16 +127*x^15 -203*x^14 +1345*x^13 -1548*x^12 +2893*x^11 -4441*x^10 -11775*x^9 -4441*x^8 -2893*x^7 -1548*x^6 -1345*x^5 -203*x^4 -127*x^3 -76*x^2 -51*x -25) / (x^20 -23550*x^10 +1). - Colin Barker, Dec 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[644], 30]] (* Vincenzo Librandi, Nov 19 2013 *)

CROSSREFS

Cf. A042237, A040618.

Sequence in context: A232438 A034025 A253017 * A042238 A042234 A042232

Adjacent sequences:  A042233 A042234 A042235 * A042237 A042238 A042239

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 05 2013

STATUS

approved

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Last modified August 3 11:20 EDT 2021. Contains 346435 sequences. (Running on oeis4.)