A042591 Denominators of continued fraction convergents to sqrt(824).

1, 1, 3, 7, 10, 17, 112, 129, 241, 611, 1463, 2074, 117607, 119681, 356969, 833619, 1190588, 2024207, 13335830, 15360037, 28695867, 72751771, 174199409, 246951180, 14003465489, 14250416669, 42504298827, 99259014323, 141763313150, 241022327473, 1587897277988

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, 119070, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^22 -x^21 +3*x^20 -7*x^19 +10*x^18 -17*x^17 +112*x^16 -129*x^15 +241*x^14 -611*x^13 +1463*x^12 -2074*x^11 -1463*x^10 -611*x^9 -241*x^8 -129*x^7 -112*x^6 -17*x^5 -10*x^4 -7*x^3 -3*x^2 -x -1) / (x^24 -119070*x^12 +1). - Colin Barker, Dec 19 2013

Mathematica

Denominator[Convergents[Sqrt[824], 30]] (* Vincenzo Librandi, Jan 25 2014 *)

Crossrefs

Cf. A042590, A040795.

Sequence in context: A316547 A041251 A042435 * A098001 A171071 A265724

Adjacent sequences: A042588 A042589 A042590 * A042592 A042593 A042594

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 19 2013

Status

approved