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A041869 Denominators of continued fraction convergents to sqrt(456). 2
1, 2, 3, 14, 17, 48, 2033, 4114, 6147, 28702, 34849, 98400, 4167649, 8433698, 12601347, 58839086, 71440433, 201719952, 8543678417, 17289076786, 25832755203, 120620097598, 146452852801, 413525803200, 17514536587201, 35442598977602, 52957135564803 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,2050,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^10 -2*x^9 +3*x^8 -14*x^7 +17*x^6 -48*x^5 -17*x^4 -14*x^3 -3*x^2 -2*x-1) / (x^12 -2050*x^6 +1). - Colin Barker, Nov 26 2013

a(n) = 2050*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 26 2013

MATHEMATICA

Denominator[Convergents[Sqrt[456], 30]] (* Vincenzo Librandi, Dec 26 2013 *)

PROG

(Magma) I:=[1, 2, 3, 14, 17, 48, 2033, 4114, 6147, 28702, 34849, 98400]; [n le 12 select I[n] else 2050*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 26 2013

CROSSREFS

Cf. A041868, A040434.

Sequence in context: A041009 A042367 A100341 * A041010 A041733 A212112

Adjacent sequences:  A041866 A041867 A041868 * A041870 A041871 A041872

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 26 2013

STATUS

approved

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Last modified October 2 08:34 EDT 2022. Contains 357191 sequences. (Running on oeis4.)