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A041501 Denominators of continued fraction convergents to sqrt(267). 2
1, 2, 3, 47, 50, 147, 4754, 9655, 14409, 225790, 240199, 706188, 22838215, 46382618, 69220833, 1084695113, 1153915946, 3392527005, 109714780106, 222822087217, 332536867323, 5210875097062, 5543411964385, 16297699025832, 527069780791009, 1070437260607850 (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 (0,0,0,0,0,4804,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^10-2*x^9+3*x^8-47*x^7+50*x^6-147*x^5-50*x^4-47*x^3-3*x^2-2*x-1) / (x^12-4804*x^6+1). - Colin Barker, Nov 18 2013

a(n) = 4804*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 19 2013

MATHEMATICA

Denominator[Convergents[Sqrt[267], 30]] (* Vincenzo Librandi, Dec 19 2013 *)

PROG

(MAGMA) I:=[1, 2, 3, 47, 50, 147, 4754, 9655, 14409, 225790, 240199, 706188]; [n le 12 select I[n] else 4804*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Dec 19 2013

CROSSREFS

Cf. A041500, A040250.

Sequence in context: A171079 A097929 A266512 * A163488 A215536 A173355

Adjacent sequences:  A041498 A041499 A041500 * A041502 A041503 A041504

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 18 2013

STATUS

approved

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Last modified February 21 23:29 EST 2019. Contains 320381 sequences. (Running on oeis4.)