A042767 Denominators of continued fraction convergents to sqrt(914).

1, 4, 13, 43, 185, 11143, 44757, 145414, 480999, 2069410, 124645599, 500651806, 1626601017, 5380454857, 23148420445, 1394285681557, 5600291146673, 18195159121576, 60185768511401, 258938233167180, 15596479758542201, 62644857267335984

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, 11186, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^8 -4*x^7 +13*x^6 -43*x^5 +185*x^4 +43*x^3 +13*x^2 +4*x +1) / (x^10 +11186*x^5 -1). - Colin Barker, Dec 23 2013

Mathematica

Denominator[Convergents[Sqrt[914], 30]] (* Vincenzo Librandi, Jan 28 2014 *)
LinearRecurrence[{0, 0, 0, 0, 11186, 0, 0, 0, 0, 1}, {1, 4, 13, 43, 185, 11143, 44757, 145414, 480999, 2069410}, 30] (* Harvey P. Dale, Apr 08 2016 *)

Crossrefs

Cf. A042766, A040883.

Sequence in context: A363366 A113986 A149426 * A286175 A383226 A252831

Adjacent sequences: A042764 A042765 A042766 * A042768 A042769 A042770

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved