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A042303 Denominators of continued fraction convergents to sqrt(678). 2
1, 26, 1353, 35204, 1831961, 47666190, 2480473841, 64539986056, 3358559748753, 87387093453634, 4547487419337721, 118322059996234380, 6157294607223525481, 160207981847807896886, 8336972350693234163553, 216921489099871896149264 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index to sequences with linear recurrences with constant coefficients, signature (0,1354,0,-1).

FORMULA

G.f.: -(x^2-26*x-1) / (x^4-1354*x^2+1). - Colin Barker, Dec 07 2013

a(n) = 1354*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 19 2014

MATHEMATICA

Denominator[Convergents[Sqrt[678], 30]] (* Vincenzo Librandi, Jan 19 2014 *)

PROG

(MAGMA) I:=[1, 26, 1353, 35204]; [n le 4 select I[n] else 1354*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jan 19 2014

CROSSREFS

Cf. A042302, A040651.

Sequence in context: A220955 A106710 A114052 * A042300 A080163 A217228

Adjacent sequences:  A042300 A042301 A042302 * A042304 A042305 A042306

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 07 2013

STATUS

approved

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Last modified April 17 17:41 EDT 2014. Contains 240650 sequences.