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A042873 Denominators of continued fraction convergents to sqrt(968). 2
1, 8, 9, 62, 71, 630, 39131, 313678, 352809, 2430532, 2783341, 24697260, 1534013461, 12296804948, 13830818409, 95281715402, 109112533811, 968181985890, 60136395658991, 482059347257818, 542195742916809, 3735233804758672, 4277429547675481, 37954670186162520 (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, 39202, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^10-8*x^9+9*x^8-62*x^7+71*x^6-630*x^5-71*x^4-62*x^3-9*x^2-8*x-1) / ((x^2-6*x+1)*(x^2+6*x+1)*(x^4-6*x^3+35*x^2-6*x+1)*(x^4+6*x^3+35*x^2+6*x+1)). - Colin Barker, Dec 25 2013

a(n) = 39202*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Jan 31 2014

MATHEMATICA

Denominator[Convergents[Sqrt[968], 30]] (* Harvey P. Dale, Jun 12 2013 *)

PROG

(MAGMA) I:=[1, 8, 9, 62, 71, 630, 39131, 313678, 352809, 2430532, 2783341, 24697260]; [n le 12 select I[n] else 39202*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Jan 31 2014

CROSSREFS

Cf. A042872, A040936.

Sequence in context: A042847 A121330 A152189 * A033045 A025633 A249697

Adjacent sequences:  A042870 A042871 A042872 * A042874 A042875 A042876

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 25 2013

STATUS

approved

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Last modified March 21 10:13 EDT 2019. Contains 321368 sequences. (Running on oeis4.)