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A041595 Denominators of continued fraction convergents to sqrt(315). 2
1, 1, 3, 4, 139, 143, 425, 568, 19737, 20305, 60347, 80652, 2802515, 2883167, 8568849, 11452016, 397937393, 409389409, 1216716211, 1626105620, 56504307291, 58130412911, 172765133113, 230895546024, 8023213697929, 8254109243953, 24531432185835, 32785541429788 (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 (0,0,0,142,0,0,0,-1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+4*x^2+1) / ((x^4-12*x^2+1)*(x^4+12*x^2+1)). - Colin Barker, Nov 19 2013

a(n) = 142*a(n-4) - a(n-8) for n>7, - Vincenzo Librandi, Dec 21 2013

MATHEMATICA

Denominator[Convergents[Sqrt[315], 30]] (* Vincenzo Librandi, Dec 21 2013 *)

PROG

(MAGMA) I:=[1, 1, 3, 4, 139, 143, 425, 568]; [n le 8 select I[n] else 142*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 21 2013

CROSSREFS

Cf. A041594, A040297.

Sequence in context: A280735 A290282 A077032 * A041741 A041903 A156513

Adjacent sequences:  A041592 A041593 A041594 * A041596 A041597 A041598

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 19 2013

STATUS

approved

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Last modified February 17 15:19 EST 2019. Contains 320220 sequences. (Running on oeis4.)