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Denominators of continued fraction convergents to sqrt(139).
2

%I #13 Jul 16 2023 15:02:47

%S 1,1,4,5,19,138,157,295,747,8512,17771,26283,44054,334661,1048037,

%T 1382698,5196131,6578829,149930369,156509198,619457963,775967161,

%U 2947359446,21407483283,24354842729,45762326012

%N Denominators of continued fraction convergents to sqrt(139).

%H Vincenzo Librandi, <a href="/A041255/b041255.txt">Table of n, a(n) for n = 0..200</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, 155126500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 155126500*a(n-18) - a(n-36) for n>35. [_Bruno Berselli_, Dec 14 2013]

%t Denominator[Convergents[Sqrt[139], 30]] (* _Vincenzo Librandi_, Dec 13 2013 *)

%Y Cf. A041254.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.