A041484 Numerators of continued fraction convergents to sqrt(259).

16, 161, 177, 515, 1722, 7403, 23931, 55265, 79196, 847225, 27190396, 272751185, 299941581, 872634347, 2917844622, 12544012835, 40549883127, 93643779089, 134193662216, 1435580401249, 46072766502184, 462163245423089, 508236011925273, 1478635269273635

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