A042906 Numerators of continued fraction convergents to sqrt(985).

31, 63, 94, 157, 408, 25453, 51314, 76767, 128081, 332929, 20769679, 41872287, 62641966, 104514253, 271670472, 16948083517, 34167837506, 51115921023, 85283758529, 221683438081, 13829656919551, 27880997277183, 41710654196734, 69591651473917, 180893957144568

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, 816, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9-31*x^8+63*x^7-94*x^6+157*x^5+408*x^4+157*x^3+94*x^2+63*x+31) / (x^10+816*x^5-1). - Colin Barker, Dec 25 2013

Mathematica

Numerator[Convergents[Sqrt[985], 30]]  (* Vincenzo Librandi, Dec 09 2013 *)

Crossrefs

Cf. A042907, A040953.

Sequence in context: A037982 A135631 A276787 * A042904 A042902 A042900

Adjacent sequences: A042903 A042904 A042905 * A042907 A042908 A042909

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 25 2013

Status

approved