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Denominators of continued fraction convergents to sqrt(683).
2

%I #11 Jul 18 2023 14:31:51

%S 1,7,15,67,216,283,499,12758,13257,26015,91302,391223,873748,6507459,

%T 339261616,2381338771,5101939158,22789095403,73469225367,96258320770,

%U 169727546137,4339446974195,4509174520332,8848621494527,31055039003913,133068777510179

%N Denominators of continued fraction convergents to sqrt(683).

%H Vincenzo Librandi, <a href="/A042313/b042313.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_28">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 340135364, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 340135364*a(n-14) - a(n-28) for n>27. - _Vincenzo Librandi_, Jan 20 2014

%t Denominator[Convergents[Sqrt[683], 30]] (* _Vincenzo Librandi_, Jan 20 2014 *)

%Y Cf. A042312.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Jan 20 2014