A041594 Numerators of continued fraction convergents to sqrt(315).

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

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