A042620 Numerators of continued fraction convergents to sqrt(839).

28, 29, 811, 840, 47851, 48691, 1362508, 1411199, 80389652, 81800851, 2289012629, 2370813480, 135054567509, 137425380989, 3845539854212, 3982965235201, 226891593025468, 230874558260669, 6460504666063531

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1680,0,0,0,-1).

Formula

G.f.: (28 + 29*x + 811*x^2 + 840*x^3 + 811*x^4 - 29*x^5 + 28*x^6 - x^7) / (1 - 1680*x^4 + x^8). [Bruno Berselli, Nov 30 2013]

Mathematica

Numerator[Convergents[Sqrt[839], 30]] (* Harvey P. Dale, Apr 20 2013 *)

Crossrefs

Cf. A042621.

Sequence in context: A042614 A042616 A042618 * A042621 A042622 A044977

Adjacent sequences: A042617 A042618 A042619 * A042621 A042622 A042623

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved