A042466 Numerators of continued fraction convergents to sqrt(761).

27, 28, 55, 138, 331, 469, 800, 43669, 44469, 88138, 220745, 529628, 750373, 1280001, 69870427, 71150428, 141020855, 353192138, 847405131, 1200597269, 2048002400, 111792726869, 113840729269, 225633456138, 565107641545, 1355848739228, 1920956380773

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, 1600, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^13 -27*x^12 +28*x^11 -55*x^10 +138*x^9 -331*x^8 +469*x^7 +800*x^6 +469*x^5 +331*x^4 +138*x^3 +55*x^2 +28*x +27) / (x^14 +1600*x^7 -1). - Colin Barker, Dec 14 2013

Mathematica

Numerator[Convergents[Sqrt[761], 30]] (* Harvey P. Dale, Sep 07 2012 *)

Crossrefs

Cf. A042467, A040733.

Sequence in context: A042468 A042472 A042474 * A042464 A042462 A042460

Adjacent sequences: A042463 A042464 A042465 * A042467 A042468 A042469

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 14 2013

Status

approved