A042631 Denominators of continued fraction convergents to sqrt(845).

1, 14, 15, 29, 421, 24447, 342679, 367126, 709805, 10304396, 598364773, 8387411218, 8985775991, 17373187209, 252210396917, 14645576208395, 205290277314447, 219935853522842, 425226130837289, 6173101685244888, 358465123875040793, 5024684835935815990

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,24476,0,0,0,0,1).

Formula

G.f.: -(x^8-14*x^7+15*x^6-29*x^5+421*x^4+29*x^3+15*x^2+14*x+1) / (x^10+24476*x^5-1). - Colin Barker, Dec 20 2013

Mathematica

Denominator[Convergents[Sqrt[845], 30]] (* Vincenzo Librandi, Jan 26 2014 *)
LinearRecurrence[{0, 0, 0, 0, 24476, 0, 0, 0, 0, 1}, {1, 14, 15, 29, 421, 24447, 342679, 367126, 709805, 10304396}, 30] (* Harvey P. Dale, Apr 09 2022 *)

Crossrefs

Cf. A042630, A040815.

Sequence in context: A041396 A041394 A041392 * A344977 A216679 A216680

Adjacent sequences: A042628 A042629 A042630 * A042632 A042633 A042634

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved