A041979 Denominators of continued fraction convergents to sqrt(512).

1, 1, 2, 3, 8, 51, 569, 3465, 7499, 10964, 18463, 29427, 1313251, 1342678, 2655929, 3998607, 10653143, 67917465, 757745258, 4614389013, 9986523284, 14600912297, 24587435581, 39188347878, 1748874742213, 1788063090091, 3536937832304, 5325000922395

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,1331714,0,0,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^22 -x^21 +2*x^20 -3*x^19 +8*x^18 -51*x^17 +569*x^16 -3465*x^15 +7499*x^14 -10964*x^13 +18463*x^12 -29427*x^11 -18463*x^10 -10964*x^9 -7499*x^8 -3465*x^7 -569*x^6 -51*x^5 -8*x^4 -3*x^3 -2*x^2 -x -1) / ((x^6 -34*x^3 +1)*(x^6 +34*x^3 +1)*(x^12 +1154*x^6 +1)). - Colin Barker, Nov 28 2013

Mathematica

Denominator[Convergents[Sqrt[512], 30]] (* Vincenzo Librandi, Jan 11 2014 *)

Crossrefs

Cf. A041978, A040489.

Sequence in context: A001289 A103045 A126464 * A001686 A013205 A340486

Adjacent sequences: A041976 A041977 A041978 * A041980 A041981 A041982

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved