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Denominators of continued fraction convergents to sqrt(657).
2

%I #18 Jul 17 2023 23:56:59

%S 1,1,2,3,8,11,19,106,125,606,731,4261,4992,9253,23498,32751,56249,

%T 89000,4506249,4595249,9101498,13696747,36494992,50191739,86686731,

%U 483625394,570312125,2764873894,3335186019,19440803989,22775990008,42216793997

%N Denominators of continued fraction convergents to sqrt(657).

%H Vincenzo Librandi, <a href="/A042263/b042263.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_36">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4562498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 4562498*a(n-18) - a(n-36) for n>35. - _Vincenzo Librandi_, Jan 19 2014

%t Denominator[Convergents[Sqrt[657], 30]] (* _Harvey P. Dale_, May 09 2012 *)

%Y Cf. A042262.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Jan 19 2014