A042580 Numerators of continued fraction convergents to sqrt(819).

28, 29, 57, 86, 143, 229, 372, 601, 973, 1574, 89117, 90691, 179808, 270499, 450307, 720806, 1171113, 1891919, 3063032, 4954951, 280540288, 285495239, 566035527, 851530766, 1417566293, 2269097059, 3686663352, 5955760411, 9642423763, 15598184174, 883140737507

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, 3148, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -28*x^18 +29*x^17 -57*x^16 +86*x^15 -143*x^14 +229*x^13 -372*x^12 +601*x^11 -973*x^10 -1574*x^9 -973*x^8 -601*x^7 -372*x^6 -229*x^5 -143*x^4 -86*x^3 -57*x^2 -29*x -28) / (x^20 -3148*x^10 +1). - Colin Barker, Dec 18 2013

Mathematica

Numerator[Convergents[Sqrt[819], 30]] (* Harvey P. Dale, Nov 06 2011 *)

Crossrefs

Cf. A042581, A040790.

Sequence in context: A093681 A044874 A022398 * A042578 A042582 A042584

Adjacent sequences: A042577 A042578 A042579 * A042581 A042582 A042583

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved