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A041691 Denominators of continued fraction convergents to sqrt(365). 2
1, 9, 10, 19, 181, 6897, 62254, 69151, 131405, 1251796, 47699653, 430548673, 478248326, 908796999, 8657421317, 329890807045, 2977674684722, 3307565491767, 6285240176489, 59874727080168, 2281524869222873, 20593598550086025, 22875123419308898 (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, 6916, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^8 -9*x^7 +10*x^6 -19*x^5 +181*x^4 +19*x^3 +10*x^2 +9*x +1) / (x^10 +6916*x^5 -1). - Colin Barker, Nov 22 2013

a(n) = 6916*a(n-5) + a(n-10) for n>9. - Vincenzo Librandi, Dec 23 2013

MATHEMATICA

Denominator[Convergents[Sqrt[365], 30]] (* Vincenzo Librandi, Dec 23 2013 *)

PROG

(MAGMA) I:=[1, 9, 10, 19, 181, 6897, 62254, 69151, 131405, 1251796]; [n le 10 select I[n] else 6916*Self(n-5)+Self(n-10): n in [1..40]]; // Vincenzo Librandi, Dec 23 2013

CROSSREFS

Cf. A041690, A040345, A176980.

Sequence in context: A041164 A182396 A041162 * A300023 A022314 A178350

Adjacent sequences:  A041688 A041689 A041690 * A041692 A041693 A041694

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 22 2013

STATUS

approved

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Last modified January 22 05:11 EST 2019. Contains 319353 sequences. (Running on oeis4.)