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A042045 Denominators of continued fraction convergents to sqrt(546). 2
1, 2, 3, 8, 11, 30, 1391, 2812, 4203, 11218, 15421, 42060, 1950181, 3942422, 5892603, 15727628, 21620231, 58968090, 2734152371, 5527272832, 8261425203, 22050123238, 30311548441, 82673220120, 3833279673961, 7749232568042, 11582512242003, 30914257052048 (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 (0,0,0,0,0,1402,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^2-2*x-1)*(x^8+4*x^6+15*x^4+4*x^2+1) / (x^12-1402*x^6+1). - Colin Barker, Nov 30 2013

a(n) = 1402*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Jan 13 2014

MATHEMATICA

Denominator[Convergents[Sqrt[546], 30]] (* Vincenzo Librandi, Jan 13 2014 *)

PROG

(MAGMA) I:=[1, 2, 3, 8, 11, 30, 1391, 2812, 4203, 11218, 15421, 42060]; [n le 12 select I[n] else 1402*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Jan 13 2014

CROSSREFS

Cf. A042044, A040522.

Sequence in context: A239453 A143914 A041123 * A317912 A096506 A119155

Adjacent sequences:  A042042 A042043 A042044 * A042046 A042047 A042048

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 30 2013

STATUS

approved

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Last modified February 23 12:03 EST 2019. Contains 320431 sequences. (Running on oeis4.)