A042367 Denominators of continued fraction convergents to sqrt(710).

1, 1, 2, 3, 14, 17, 31, 48, 2527, 2575, 5102, 7677, 35810, 43487, 79297, 122784, 6464065, 6586849, 13050914, 19637763, 91601966, 111239729, 202841695, 314081424, 16535075743, 16849157167, 33384232910, 50233390077, 234317793218, 284551183295

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, 2558, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4+3*x^2+1)*(x^8+16*x^4+1) / (x^16-2558*x^8+1). - Colin Barker, Dec 09 2013

Mathematica

Denominator[Convergents[Sqrt[710], 30]] (* Vincenzo Librandi, Jan 20 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 2558, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 2, 3, 14, 17, 31, 48, 2527, 2575, 5102, 7677, 35810, 43487, 79297, 122784}, 30] (* Harvey P. Dale, Jan 03 2024 *)

Crossrefs

Cf. A042366, A040683.

Sequence in context: A275303 A281500 A041009 * A100341 A041869 A041010

Adjacent sequences: A042364 A042365 A042366 * A042368 A042369 A042370

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved