A042586 Numerators of continued fraction convergents to sqrt(822).

28, 29, 86, 2437, 4960, 7397, 419192, 426589, 1272370, 36052949, 73378268, 109431217, 6201526420, 6310957637, 18823441694, 533367325069, 1085558091832, 1618925416901, 91745381438288, 93364306855189, 278473995148666, 7890636171017837, 16059746337184340

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, 14794, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11-28*x^10+29*x^9-86*x^8+2437*x^7-4960*x^6-7397*x^5-4960*x^4-2437*x^3-86*x^2-29*x-28) / (x^12-14794*x^6+1). - Colin Barker, Dec 18 2013

Mathematica

Numerator[Convergents[Sqrt[822], 30]] (* Vincenzo Librandi, Nov 29 2013 *)

Crossrefs

Cf. A042587, A040793.

Sequence in context: A042594 A042590 A042588 * A042600 A042598 A042596

Adjacent sequences: A042583 A042584 A042585 * A042587 A042588 A042589

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved