A041304 Numerators of continued fraction convergents to sqrt(165).

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

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