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A041705 Denominators of continued fraction convergents to sqrt(372). 2
1, 3, 7, 87, 181, 630, 24121, 72993, 170107, 2114277, 4398661, 15310260, 586188541, 1773875883, 4133940307, 51381159567, 106896259441, 372069937890, 14245553899261, 43108731635673, 100463017170607, 1248664937682957, 2597792892536521, 9042043615292520 (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 (0,0,0,0,0,24302,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^10 -3*x^9 +7*x^8 -87*x^7 +181*x^6 -630*x^5 -181*x^4 -87*x^3 -7*x^2 -3*x -1) / ((x^4 -29*x^2 +1)*(x^8 +29*x^6 +840*x^4 +29*x^2 +1)). - Colin Barker, Nov 22 2013

a(n) = 24302*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 23 2013

MATHEMATICA

Denominator[Convergents[Sqrt[372], 30]] (* Vincenzo Librandi, Dec 23 2013 *)

PROG

(MAGMA) I:=[1, 3, 7, 87, 181, 630, 24121, 72993, 170107, 2114277, 4398661, 15310260]; [n le 12 select I[n] else 24302*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 23 2013

CROSSREFS

Cf. A041704, A040352.

Sequence in context: A219588 A219375 A064118 * A137130 A058379 A111002

Adjacent sequences:  A041702 A041703 A041704 * A041706 A041707 A041708

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 March 25 16:33 EDT 2019. Contains 321472 sequences. (Running on oeis4.)