|
%I #14 Sep 08 2022 08:44:55
%S 28,141,1297,6626,372353,1868391,17187872,87807751,4934421928,
%T 24759917391,227773678447,1163628309626,65390959017503,
%U 328118423397141,3018456769591772,15420402271356001,866560983965527828
%N Numerators of continued fraction convergents to sqrt(795).
%H Vincenzo Librandi, <a href="/A042532/b042532.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 13252, 0, 0, 0, -1).
%F G.f.: (28 +141*x +1297*x^2 +6626*x^3 +1297*x^4 -141*x^5 +28*x^6 -x^7)/(1 -13252*x^4 +x^8). - _Vincenzo Librandi_, Nov 27 2013
%F a(n) = 13252*a(n-4) - a(n-8). - _Vincenzo Librandi_, Nov 27 2013
%t Numerator[Convergents[Sqrt[795], 30]] (* or *) CoefficientList[Series[(28 + 141 x + 1297 x^2 + 6626 x^3 + 1297 x^4 - 141 x^5 + 28 x^6 - x^7)/(1 - 13252 x^4 + x^8), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 27 2013 *)
%o (Magma) I:=[28, 141, 1297, 6626, 372353, 1868391, 17187872, 87807751]; [n le 8 select I[n] else 13252*Self(n-4)-Self(n-8): n in [1..30]]; // _Vincenzo Librandi_, Nov 27 2013
%Y Cf. A042533.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
|
