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A042616 Numerators of continued fraction convergents to sqrt(837). 2
28, 29, 405, 839, 11312, 12151, 691768, 703919, 9842715, 20389349, 274904252, 295293601, 16811345908, 17106639509, 239197659525, 495501958559, 6680723120792, 7176225079351, 408549327564448, 415725552643799, 5812981511933835, 12041688576511469 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 19 13:23 EST 2020. Contains 332044 sequences. (Running on oeis4.)