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A041234 Numerators of continued fraction convergents to sqrt(129). 2
11, 23, 34, 125, 159, 1079, 1238, 4793, 6031, 16855, 376841, 770537, 1147378, 4212671, 5360049, 36372965, 41733014, 161572007, 203305021, 568182049, 12703310099, 25974802247, 38678112346, 142009139285, 180687251631, 1226132649071, 1406819900702 (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 (0,0,0,0,0,0,0,0,0,33710,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -11*x^18 +23*x^17 -34*x^16 +125*x^15 -159*x^14 +1079*x^13 -1238*x^12 +4793*x^11 -6031*x^10 -16855*x^9 -6031*x^8 -4793*x^7 -1238*x^6 -1079*x^5 -159*x^4 -125*x^3 -34*x^2 -23*x -11) / (x^20 -33710*x^10 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[129], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

CROSSREFS

Cf. A041235.

Sequence in context: A250215 A208326 A097657 * A041549 A136771 A017653

Adjacent sequences:  A041231 A041232 A041233 * A041235 A041236 A041237

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 12 23:51 EST 2018. Contains 318081 sequences. (Running on oeis4.)