A042615 - OEIS

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A042615

Denominators of continued fraction convergents to sqrt(836).

1, 1, 11, 12, 23, 58, 81, 139, 1471, 1610, 91631, 93241, 1024041, 1117282, 2141323, 5399928, 7541251, 12941179, 136953041, 149894220, 8531029361, 8680923581, 95340265171, 104021188752, 199361453923, 502744096598, 702105550521, 1204849647119, 12750602021711

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OFFSET

0,3

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, 0, 0, 93102, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^18 -x^17 +11*x^16 -12*x^15 +23*x^14 -58*x^13 +81*x^12 -139*x^11 +1471*x^10 -1610*x^9 -1471*x^8 -139*x^7 -81*x^6 -58*x^5 -23*x^4 -12*x^3 -11*x^2 -x -1) / (x^20 -93102*x^10 +1). - Colin Barker, Dec 20 2013

MATHEMATICA

Denominator[Convergents[Sqrt[836], 30]] (* Vincenzo Librandi, Jan 25 2014 *)

CROSSREFS

Cf. A042614, A040807.

Sequence in context: A092778 A041248 A112063 * A041244 A041242 A042019

Adjacent sequences: A042612 A042613 A042614 * A042616 A042617 A042618

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 20 2013

STATUS

approved