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A042266 Numerators of continued fraction convergents to sqrt(659). 2
25, 26, 77, 1951, 3979, 5930, 300479, 306409, 913297, 23138834, 47190965, 70329799, 3563680915, 3634010714, 10831702343, 274426569289, 559684840921, 834111410210, 42265255351421, 43099366761631 (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, 11860, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: (25 + 26*x + 77*x^2 + 1951*x^3 + 3979*x^4 + 5930*x^5 + 3979*x^6 - 1951*x^7 + 77*x^8 - 26*x^9 + 25*x^10 - x^11)/(1 - 11860*x^6 + x^12). - Vincenzo Librandi, Nov 20 2013

a(n) = 11860*a(n-6) - a(n-12). - Vincenzo Librandi, Nov 18 2013

MATHEMATICA

Numerator[Convergents[Sqrt[659], 30]] (* or *) CoefficientList[Series[(25 + 26 x + 77 x^2 + 1951 x^3 + 3979 x^4 + 5930 x^5 + 3979 x^6 - 1951 x^7 + 77 x^8 - 26 x^9 + 25 x^10 - x^11)/(1 - 11860 x^6 + x^12), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 20 2013 *)

PROG

(MAGMA) I:=[25, 26, 77, 1951, 3979, 5930, 300479, 306409, 913297, 23138834, 47190965, 70329799]; [n le 12 select I[n] else 11860*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Nov 18 2013

CROSSREFS

Cf. A042267.

Sequence in context: A042274 A042270 A042268 * A042278 A042276 A042282

Adjacent sequences:  A042263 A042264 A042265 * A042267 A042268 A042269

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 25 13:01 EDT 2020. Contains 337344 sequences. (Running on oeis4.)