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A041663 Denominators of continued fraction convergents to sqrt(350). 2
1, 1, 3, 7, 17, 24, 881, 905, 2691, 6287, 15265, 21552, 791137, 812689, 2416515, 5645719, 13707953, 19353672, 710440145, 729793817, 2170027779, 5069849375, 12309726529, 17379575904, 637974459073, 655354034977, 1948682529027, 4552719093031, 11054120715089 (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 (0,0,0,0,0,898,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^10-x^9+3*x^8-7*x^7+17*x^6-24*x^5-17*x^4-7*x^3-3*x^2-x-1) / ((x^6-30*x^3+1)*(x^6+30*x^3+1)). - Colin Barker, Nov 21 2013

a(n) = 898*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 22 2013

MATHEMATICA

Denominator[Convergents[Sqrt[350], 30]] (* Vincenzo Librandi, Dec 22 2013 *)

PROG

(MAGMA) I:=[1, 1, 3, 7, 17, 24, 881, 905, 2691, 6287, 15265, 21552]; [n le 12 select I[n] else 898*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013

CROSSREFS

Cf. A041662, A040331.

Sequence in context: A100343 A085396 A041077 * A042825 A076033 A029519

Adjacent sequences:  A041660 A041661 A041662 * A041664 A041665 A041666

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 March 21 04:59 EDT 2019. Contains 321364 sequences. (Running on oeis4.)