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A041380 Numerators of continued fraction convergents to sqrt(205). 2
14, 43, 272, 315, 1532, 1847, 12614, 39689, 1123906, 3411407, 21592348, 25003755, 121607368, 146611123, 1001274106, 3150433441, 89213410454, 270790664803, 1713957399272, 1984748064075, 9652949655572, 11637697719647, 79479135973454, 250075105640009 (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 (0,0,0,0,0,0,0,79378,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -14*x^14 +43*x^13 -272*x^12 +315*x^11 -1532*x^10 +1847*x^9 -12614*x^8 -39689*x^7 -12614*x^6 -1847*x^5 -1532*x^4 -315*x^3 -272*x^2 -43*x -14) / (x^16-79378*x^8 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[205], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041381.

Sequence in context: A041378 A302219 A302665 * A151990 A156166 A064125

Adjacent sequences:  A041377 A041378 A041379 * A041381 A041382 A041383

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 September 25 05:13 EDT 2022. Contains 356958 sequences. (Running on oeis4.)