A042341 Denominators of continued fraction convergents to sqrt(697).

1, 2, 5, 262, 529, 1320, 69169, 139658, 348485, 18260878, 36870241, 92001360, 4820940961, 9733883282, 24288707525, 1272746674582, 2569782056689, 6412310787960, 336009943030609, 678432196849178, 1692874336728965, 88707897706755358

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, 264, 0, 0, 1).

Formula

G.f.: -(x^4-2*x^3+5*x^2+2*x+1) / (x^6+264*x^3-1). - Colin Barker, Dec 08 2013

Mathematica

Denominator[Convergents[Sqrt[697], 30]] (* Vincenzo Librandi, Jan 20 2014 *)
LinearRecurrence[{0, 0, 264, 0, 0, 1}, {1, 2, 5, 262, 529, 1320}, 30] (* Harvey P. Dale, Dec 23 2019 *)

Crossrefs

Cf. A042340, A040670.

Sequence in context: A121270 A085603 A309675 * A300900 A016088 A248961

Adjacent sequences: A042338 A042339 A042340 * A042342 A042343 A042344

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 08 2013

Status

approved