A042492 Numerators of continued fraction convergents to sqrt(774).

27, 28, 139, 167, 306, 779, 1085, 1864, 8541, 10405, 570411, 580816, 2893675, 3474491, 6368166, 16210823, 22578989, 38789812, 177738237, 216528049, 11870252883, 12086780932, 60217376611, 72304157543, 132521534154, 337347225851, 469868760005, 807215985856

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, 20810, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -27*x^18 +28*x^17 -139*x^16 +167*x^15 -306*x^14 +779*x^13 -1085*x^12 +1864*x^11 -8541*x^10 -10405*x^9 -8541*x^8 -1864*x^7 -1085*x^6 -779*x^5 -306*x^4 -167*x^3 -139*x^2 -28*x -27) / (x^20 -20810*x^10 +1). - Colin Barker, Dec 15 2013

Mathematica

Numerator[Convergents[Sqrt[774], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

Crossrefs

Cf. A042493, A040746.

Sequence in context: A042486 A290276 A338447 * A042490 A042496 A042494

Adjacent sequences: A042489 A042490 A042491 * A042493 A042494 A042495

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 15 2013

Status

approved