A042468 Numerators of continued fraction convergents to sqrt(762).

27, 28, 55, 83, 138, 1187, 1325, 2512, 3837, 6349, 346683, 353032, 699715, 1052747, 1752462, 15072443, 16824905, 31897348, 48722253, 80619601, 4402180707, 4482800308, 8884981015, 13367781323, 22252762338, 191389880027, 213642642365, 405032522392

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, 12698, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 - 27*x^18 + 28*x^17 - 55*x^16 + 83*x^15 - 138*x^14 + 1187*x^13 - 1325*x^12 + 2512*x^11 - 3837*x^10 - 6349*x^9 - 3837*x^8 - 2512*x^7 - 1325*x^6 - 1187*x^5 - 138*x^4 - 83*x^3 - 55*x^2 - 28*x - 27) / (x^20 - 12698*x^10 + 1). - Colin Barker, Dec 15 2013

Mathematica

Numerator[Convergents[Sqrt[762], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

Crossrefs

Cf. A042469 A040734.

Sequence in context: A069551 A022397 A042470 * A042472 A042474 A042466

Adjacent sequences: A042465 A042466 A042467 * A042469 A042470 A042471

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 15 2013

Status

approved