A042548 Numerators of continued fraction convergents to sqrt(803).

28, 57, 85, 2352, 2437, 7226, 407093, 821412, 1228505, 33991047, 35219552, 104430151, 5883308008, 11871046167, 17754354175, 491238608892, 508992963067, 1509224535026, 85025566924523, 171560358384072, 256585925308595, 7099380341716137, 7355966267024732

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, 14452, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -28*x^10 +57*x^9 -85*x^8 +2352*x^7 -2437*x^6 -7226*x^5 -2437*x^4 -2352*x^3 -85*x^2 -57*x -28) / (x^12 -14452*x^6 +1). - Colin Barker, Dec 18 2013

Mathematica

Numerator[Convergents[Sqrt[803], 30]] (* Vincenzo Librandi, Nov 28 2013 *)

Crossrefs

Cf. A042549, A040774.

Sequence in context: A042554 A042552 A042550 * A042558 A042556 A042560

Adjacent sequences: A042545 A042546 A042547 * A042549 A042550 A042551

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved