A042363 Denominators of continued fraction convergents to sqrt(708).

1, 1, 2, 3, 5, 23, 97, 411, 508, 919, 1427, 2346, 123419, 125765, 249184, 374949, 624133, 2871481, 12110057, 51311709, 63421766, 114733475, 178155241, 292888716, 15408368473, 15701257189, 31109625662, 46810882851, 77920508513, 358492916903

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,124846,0,0,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^22 -x^21 +2*x^20 -3*x^19 +5*x^18 -23*x^17 +97*x^16 -411*x^15 +508*x^14 -919*x^13 +1427*x^12 -2346*x^11 -1427*x^10 -919*x^9 -508*x^8 -411*x^7 -97*x^6 -23*x^5 -5*x^4 -3*x^3 -2*x^2 -x -1) / (x^24 -124846*x^12 +1). - Colin Barker, Dec 09 2013

Mathematica

Denominator[Convergents[Sqrt[708], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042362, A040681.

Sequence in context: A214703 A327700 A182976 * A208220 A138655 A053708

Adjacent sequences: A042360 A042361 A042362 * A042364 A042365 A042366

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved