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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

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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