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%I #24 Jun 09 2022 11:41:11
%S 6,7,13,46,59,341,400,1541,1941,3482,43725,47207,90932,320003,410935,
%T 2374678,2785613,10731517,13517130,24248647,304500894,328749541,
%U 633250435,2228500846,2861751281,16537257251
%N Numerators of continued fraction convergents to sqrt(43).
%H Vincenzo Librandi, <a href="/A041072/b041072.txt">Table of n, a(n) for n = 0..200</a>
%H Les Tablettes du Chercheur, <a href="https://gallica.bnf.fr/ark:/12148/bpt6k58162334/f11.item">Problem 364</a>, pp. 11, Mai 15 1891
%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,6964,0,0,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^19 -6*x^18 +7*x^17 -13*x^16 +46*x^15 -59*x^14 +341*x^13 -400*x^12 +1541*x^11 -1941*x^10 -3482*x^9 -1941*x^8 -1541*x^7 -400*x^6 -341*x^5 -59*x^4 -46*x^3 -13*x^2 -7*x -6) / (x^20 -6964*x^10 +1). - _Colin Barker_, Nov 04 2013
%t Numerator[Convergents[Sqrt[43], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%Y Cf. A041073, A010497, A010134.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
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