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A041222

Numerators of continued fraction convergents to sqrt(123).

11, 122, 2695, 29767, 657569, 7263026, 160444141, 1772148577, 39147712835, 432396989762, 9551881487599, 105503093353351, 2330619935261321, 25742322381227882, 568661712322274725, 6281021157926249857, 138751127186699771579, 1532543420211623737226

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OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (0,244,0,-1).

FORMULA

G.f.: (11 + 122*x + 11*x^2 - x^3) / (1 - 244*x^2 + x^4). [Bruno Berselli, Oct 31 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[123], 20]] (* Vincenzo Librandi, Oct 31 2013 *)

LinearRecurrence[{0, 244, 0, -1}, {11, 122, 2695, 29767}, 20] (* Bruno Berselli, Oct 31 2013 *)

PROG

(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((11+122*x+11*x^2-x^3)/(1-244*x^2+x^4))); // Bruno Berselli, Oct 31 2013

CROSSREFS

Cf. A041223.

Sequence in context: A049666 A163462 A334000 * A097708 A015499 A039438

Adjacent sequences: A041219 A041220 A041221 * A041223 A041224 A041225

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

URL: https://oeis.org/A041222

⇱ A041222 - OEIS