A042490 Numerators of continued fraction convergents to sqrt(773).

27, 28, 139, 1835, 1974, 5783, 13540, 19323, 264739, 1078279, 1343018, 73601251, 74944269, 373378327, 4928862520, 5302240847, 15533344214, 36368929275, 51902273489, 711098484632, 2896296212017, 3607394696649, 197695609831063, 201303004527712

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, 0, 0, 0, 0, 0, 2686036, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^21 -27*x^20 +28*x^19 -139*x^18 +1835*x^17 -1974*x^16 +5783*x^15 -13540*x^14 +19323*x^13 -264739*x^12 +1078279*x^11 +1343018*x^10 +1078279*x^9 +264739*x^8 +19323*x^7 +13540*x^6 +5783*x^5 +1974*x^4 +1835*x^3 +139*x^2 +28*x +27) / (x^22 +2686036*x^11 -1). - Colin Barker, Dec 15 2013

Mathematica

Numerator[Convergents[Sqrt[773], 30]] (* Harvey P. Dale, May 01 2013 *)

Crossrefs

Cf. A042491, A040745.

Sequence in context: A290276 A338447 A042492 * A042496 A042494 A042498

Adjacent sequences: A042487 A042488 A042489 * A042491 A042492 A042493

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 15 2013

Status

approved