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A042537 Denominators of continued fraction convergents to sqrt(797). 2

%I #15 Sep 08 2022 08:44:55

%S 1,4,13,173,186,917,3854,4771,65877,202402,875485,49229562,197793733,

%T 642610761,8551733626,9194344387,45329111174,190510789083,

%U 235839900257,3256429492424,10005128377529,43276943002540,2433513936519769,9777332689081616

%N Denominators of continued fraction convergents to sqrt(797).

%H Vincenzo Librandi, <a href="/A042537/b042537.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_22">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49431964, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n) = 49431964*a(n-11) + a(n-22) for n>21. - _Vincenzo Librandi_, Jan 23 2014

%t Denominator[Convergents[Sqrt[797], 30]] (* _Harvey P. Dale_, Sep 30 2012 *)

%o (Magma) I:=[1,4,13,173,186,917,3854,4771,65877,202402, 875485,49229562,197793733,642610761,8551733626, 9194344387,45329111174,190510789083,235839900257, 3256429492424,10005128377529,43276943002540]; [n le 22 select I[n] else 49431964*Self(n-11)+Self(n-22): n in [1..30]]; // _Vincenzo Librandi_, Jan 23 2014

%Y Cf. A040768, A042536.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Jan 23 2014

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Last modified June 22 14:17 EDT 2024. Contains 373587 sequences. (Running on oeis4.)