A042498 Numerators of continued fraction convergents to sqrt(777).

27, 28, 195, 223, 12237, 12460, 86997, 99457, 5457675, 5557132, 38800467, 44357599, 2434110813, 2478468412, 17304921285, 19783389697, 1085607964923, 1105391354620, 7717956092643, 8823347447263

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, 446, 0, 0, 0, -1).

Formula

From Colin Barker, Jul 16 2012: (Start)

a(n) = 446*a(n-4) - a(n-8).

G.f.: -(x^7-27*x^6+28*x^5-195*x^4-223*x^3-195*x^2-28*x-27)/(x^8-446*x^4+1). (End)

Mathematica

Numerator[Convergents[Sqrt[777], 30]] (* Harvey P. Dale, Mar 09 2012 *)

Crossrefs

Cf. A042499.

Sequence in context: A042490 A042496 A042494 * A042500 A042502 A042504

Adjacent sequences: A042495 A042496 A042497 * A042499 A042500 A042501

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Status

approved