A042648 Numerators of continued fraction convergents to sqrt(854).

29, 117, 263, 3010, 12303, 138343, 288989, 1294299, 75358331, 302727623, 680813577, 7791676970, 31847521457, 358114412997, 748076347451, 3350419802801, 195072424909909, 783640119442437, 1762352663794783, 20169519421185050, 82440430348534983

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, 2588598, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -29*x^14 +117*x^13 -263*x^12 +3010*x^11 -12303*x^10 +138343*x^9 -288989*x^8 -1294299*x^7 -288989*x^6 -138343*x^5 -12303*x^4 -3010*x^3 -263*x^2 -117*x -29) / (x^16 -2588598*x^8 +1). - Colin Barker, Dec 20 2013

Mathematica

Numerator[Convergents[Sqrt[854], 30]] (* Vincenzo Librandi, Nov 30 2013 *)

Crossrefs

Cf. A042649, A040824.

Sequence in context: A244635 A042646 A188359 * A233046 A042650 A158560

Adjacent sequences: A042645 A042646 A042647 * A042649 A042650 A042651

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved