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A041655 Denominators of continued fraction convergents to sqrt(346). 2
1, 1, 2, 3, 5, 183, 188, 371, 559, 930, 34039, 34969, 69008, 103977, 172985, 6331437, 6504422, 12835859, 19340281, 32176140, 1177681321, 1209857461, 2387538782, 3597396243, 5984935025, 219055057143, 225039992168, 444095049311, 669135041479, 1113230090790 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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, 186, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^4-3*x^3+4*x^2-2*x+1)*(x^4+2*x^3+4*x^2+3*x+1) / (x^10+186*x^5-1). - Colin Barker, Nov 21 2013

a(n) = 186*a(n-5) + a(n-10) for n>9. - Vincenzo Librandi, Dec 22 2013

MATHEMATICA

Denominator[Convergents[Sqrt[346], 30]] (* Harvey P. Dale, Nov 12 2013 *)

CoefficientList[Series[-(x^4 - 3 x^3 + 4 x^2 - 2 x + 1) (x^4 + 2 x^3 + 4 x^2 + 3 x + 1)/(x^10 + 186 x^5 - 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 22 2013 *)

PROG

(MAGMA) I:=[1, 1, 2, 3, 5, 183, 188, 371, 559, 930]; [n le 10 select I[n] else 186*Self(n-5)+Self(n-10): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013

CROSSREFS

Cf. A041654, A040327.

Sequence in context: A319609 A140551 A064936 * A082520 A062597 A038526

Adjacent sequences:  A041652 A041653 A041654 * A041656 A041657 A041658

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 21 2013

STATUS

approved

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Last modified June 18 07:04 EDT 2019. Contains 324203 sequences. (Running on oeis4.)