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A041304 Numerators of continued fraction convergents to sqrt(165). 2
12, 13, 77, 167, 912, 1079, 26808, 27887, 166243, 360373, 1968108, 2328481, 57851652, 60180133, 358752317, 777684767, 4247176152, 5024860919, 124843838208, 129868699127, 774187333843, 1678243366813, 9165404167908, 10843647534721, 269412945001212 (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 (0,0,0,0,0,2158,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11 -12*x^10 +13*x^9 -77*x^8 +167*x^7 -912*x^6 -1079*x^5 -912*x^4 -167*x^3 -77*x^2 -13*x -12) / ((x^4 -13*x^2 +1)*(x^8 +13*x^6 +168*x^4 +13*x^2 +1)). - Colin Barker, Nov 06 2013

MATHEMATICA

Numerator[Convergents[Sqrt[165], 30]] (* Harvey P. Dale, Dec 25 2012 *)

CROSSREFS

Cf. A041305.

Sequence in context: A329597 A041300 A041302 * A085546 A041306 A058952

Adjacent sequences:  A041301 A041302 A041303 * A041305 A041306 A041307

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 06 2013

STATUS

approved

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Last modified May 8 09:21 EDT 2021. Contains 343666 sequences. (Running on oeis4.)