A042478 Numerators of continued fraction convergents to sqrt(767).

27, 28, 83, 277, 360, 637, 997, 1634, 2631, 9527, 21685, 31212, 1707133, 1738345, 5183823, 17289814, 22473637, 39763451, 62237088, 102000539, 164237627, 594713420, 1353664467, 1948377887, 106566070365, 108514448252, 323594966869, 1079299348859, 1402894315728

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, 0, 62424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^23 -27*x^22 +28*x^21 -83*x^20 +277*x^19 -360*x^18 +637*x^17 -997*x^16 +1634*x^15 -2631*x^14 +9527*x^13 -21685*x^12 -31212*x^11 -21685*x^10 -9527*x^9 -2631*x^8 -1634*x^7 -997*x^6 -637*x^5 -360*x^4 -277*x^3 -83*x^2 -28*x -27) / (x^24 -62424*x^12 +1). - Colin Barker, Dec 15 2013

Mathematica

Numerator[Convergents[Sqrt[767], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

Crossrefs

Cf. A042479, A040739.

Sequence in context: A042482 A042484 A042480 * A042476 A045861 A042488

Adjacent sequences: A042475 A042476 A042477 * A042479 A042480 A042481

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 15 2013

Status

approved