A042616 Numerators of continued fraction convergents to sqrt(837).

28, 29, 405, 839, 11312, 12151, 691768, 703919, 9842715, 20389349, 274904252, 295293601, 16811345908, 17106639509, 239197659525, 495501958559, 6680723120792, 7176225079351, 408549327564448, 415725552643799, 5812981511933835, 12041688576511469

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, 24302, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -28*x^10 +29*x^9 -405*x^8 +839*x^7 -11312*x^6 -12151*x^5 -11312*x^4 -839*x^3 -405*x^2 -29*x -28) / ((x^4 -29*x^2 +1)*(x^8 +29*x^6 +840*x^4 +29*x^2 +1)). - Colin Barker, Dec 20 2013

Mathematica

Numerator[Convergents[Sqrt[837], 30]] (* Harvey P. Dale, Nov 01 2011 *)

Crossrefs

Cf. A042617, A040808.

Sequence in context: A042610 A042612 A042614 * A042618 A042620 A042621

Adjacent sequences: A042613 A042614 A042615 * A042617 A042618 A042619

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved