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%I #14 Sep 08 2022 08:44:55
%S 1,1,15,31,449,480,29249,29729,445455,920639,13334401,14255040,
%T 868636801,882891841,13229122575,27341136991,396005040449,
%U 423346177440,25796775686849,26220121864289,392878481786895,811977085438079,11760557677920001,12572534763358080
%N Denominators of continued fraction convergents to sqrt(957).
%H Vincenzo Librandi, <a href="/A042853/b042853.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,29698,0,0,0,0,0,-1).
%F G.f.: -(x^10 -x^9 +15*x^8 -31*x^7 +449*x^6 -480*x^5 -449*x^4 -31*x^3 -15*x^2 -x -1) / ((x^4 -31*x^2 +1)*(x^8 +31*x^6 +960*x^4 +31*x^2 +1)). - _Colin Barker_, Dec 25 2013
%F a(n) = 29698*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Dec 25 2013
%t Denominator[Convergents[Sqrt[957], 30]] (* _Vincenzo Librandi_, Dec 25 2013 *)
%o (Magma) I:=[1,1,15,31,449,480,29249,29729,445455,920639, 13334401,14255040]; [n le 12 select I[n] else 29698*Self(n-6)-Self(n-12): n in [1..40]]; // _Vincenzo Librandi_, Dec 25 2013
%Y Cf. A042852, A040926.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 25 2013
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