A041987 Denominators of continued fraction convergents to sqrt(516).

1, 1, 3, 4, 7, 102, 109, 211, 531, 742, 33179, 33921, 101021, 134942, 235963, 3438424, 3674387, 7112811, 17900009, 25012820, 1118464089, 1143476909, 3405417907, 4548894816, 7954312723, 115909272938, 123863585661, 239772858599, 603409302859, 843182161458

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,33710,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^18 -x^17 +3*x^16 -4*x^15 +7*x^14 -102*x^13 +109*x^12 -211*x^11 +531*x^10 -742*x^9 -531*x^8 -211*x^7 -109*x^6 -102*x^5 -7*x^4 -4*x^3 -3*x^2 -x -1) / (x^20 -33710*x^10 +1). - Colin Barker, Nov 28 2013

Mathematica

Denominator[Convergents[Sqrt[516], 30]] (* Vincenzo Librandi, Jan 11 2014 *)

Crossrefs

Cf. A041986, A040493.

Sequence in context: A041463 A041863 A042543 * A100978 A059077 A042707

Adjacent sequences: A041984 A041985 A041986 * A041988 A041989 A041990

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved