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A041484 Numerators of continued fraction convergents to sqrt(259). 2
16, 161, 177, 515, 1722, 7403, 23931, 55265, 79196, 847225, 27190396, 272751185, 299941581, 872634347, 2917844622, 12544012835, 40549883127, 93643779089, 134193662216, 1435580401249, 46072766502184, 462163245423089, 508236011925273, 1478635269273635 (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, 1694450, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^19 -16*x^18 +161*x^17 -177*x^16 +515*x^15 -1722*x^14 +7403*x^13 -23931*x^12 +55265*x^11 -79196*x^10 -847225*x^9 -79196*x^8 -55265*x^7 -23931*x^6 -7403*x^5 -1722*x^4 -515*x^3 -177*x^2 -161*x -16) / (x^20 -1694450*x^10 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[259], 30]] (* Vincenzo Librandi, Nov 03 2013 *)

CROSSREFS

Cf. A041485.

Sequence in context: A197535 A204297 A000811 * A283687 A011551 A335175

Adjacent sequences: A041481 A041482 A041483 * A041485 A041486 A041487

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 2013

STATUS

approved

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Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)