A042769 - OEIS

A042769

Denominators of continued fraction convergents to sqrt(915).

1, 4, 241, 968, 58321, 234252, 14113441, 56688016, 3415394401, 13718265620, 826511331601, 3319763592024, 200012326853041, 803369071004188, 48402156587104321, 194411995419421472, 11713121881752392641, 47046899522428992036, 2834527093227491914801

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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, 242, 0, -1).

FORMULA

G.f.: -(x^2-4*x-1) / (x^4-242*x^2+1). - Colin Barker, Dec 23 2013

MATHEMATICA

Denominator[Convergents[Sqrt[915], 30]] (* Vincenzo Librandi, Jan 28 2014 *)

LinearRecurrence[{0, 242, 0, -1}, {1, 4, 241, 968}, 30] (* Harvey P. Dale, Jan 20 2020 *)

CROSSREFS

Cf. A042768, A040884.

Sequence in context: A094073 A137342 A152793 * A332124 A091792 A300595

Adjacent sequences: A042766 A042767 A042768 * A042770 A042771 A042772

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 23 2013

STATUS

approved

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