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A041388 Numerators of continued fraction convergents to sqrt(209). 2
14, 29, 159, 506, 1171, 4019, 21266, 46551, 1324694, 2695939, 14804389, 47109106, 109022601, 374176909, 1979907146, 4333991201, 123331660774, 250997312749, 1378318224519, 4385951986306, 10150222197131, 34836618577699, 184333315085626, 403503248748951 (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 (0,0,0,0,0,0,0,93102,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -14*x^14 +29*x^13 -159*x^12 +506*x^11 -1171*x^10 +4019*x^9 -21266*x^8 -46551*x^7 -21266*x^6 -4019*x^5 -1171*x^4 -506*x^3 -159*x^2 -29*x -14) / (x^16 -93102*x^8 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[209], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041389.

Sequence in context: A263119 A196305 A041386 * A042617 A041390 A240823

Adjacent sequences:  A041385 A041386 A041387 * A041389 A041390 A041391

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 April 25 04:26 EDT 2019. Contains 322451 sequences. (Running on oeis4.)