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A041594 Numerators of continued fraction convergents to sqrt(315). 2
17, 18, 53, 71, 2467, 2538, 7543, 10081, 350297, 360378, 1071053, 1431431, 49739707, 51171138, 152081983, 203253121, 7062688097, 7265941218, 21594570533, 28860511751, 1002851970067, 1031712481818, 3066276933703, 4097989415521, 142397917061417 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

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^7-17*x^6+18*x^5-53*x^4-71*x^3-53*x^2-18*x-17) / ((x^4-12*x^2+1)*(x^4+12*x^2+1)). - Colin Barker, Nov 09 2013

MATHEMATICA

Numerator[Convergents[Sqrt[315], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

LinearRecurrence[{0, 0, 0, 142, 0, 0, 0, -1}, {17, 18, 53, 71, 2467, 2538, 7543, 10081}, 30] (* Harvey P. Dale, Oct 23 2017 *)

CROSSREFS

Cf. A041595.

Sequence in context: A041580 A041578 A041592 * A041590 A041596 A041600

Adjacent sequences:  A041591 A041592 A041593 * A041595 A041596 A041597

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 09 2013

STATUS

approved

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Last modified March 20 13:18 EDT 2019. Contains 321345 sequences. (Running on oeis4.)