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A041668 Numerators of continued fraction convergents to sqrt(353). 2

%I #17 Dec 31 2022 12:59:53

%S 18,19,75,94,263,357,620,977,1597,2574,4171,10916,15087,56177,71264,

%T 2621681,2692945,10700516,13393461,37487438,50880899,88368337,

%U 139249236,227617573,366866809,594484382

%N Numerators of continued fraction convergents to sqrt(353).

%H Vincenzo Librandi, <a href="/A041668/b041668.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_30">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 142528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n) = 142528*a(n-15) + a(n-30) for n>29. [_Bruno Berselli_, Nov 06 2013]

%t Numerator[Convergents[Sqrt[353], 30]] (* _Vincenzo Librandi_, Nov 06 2013 *)

%t LinearRecurrence[{0,0,0,0,0,0,0,0,0,0,0,0,0,0,142528,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1},{18,19,75,94,263,357,620,977,1597,2574,4171,10916,15087,56177,71264,2621681,2692945,10700516,13393461,37487438,50880899,88368337,139249236,227617573,366866809,594484382,1555835573,2150319955,8006795438,10157115393},30] (* _Harvey P. Dale_, Dec 31 2022 *)

%Y Cf. A041669.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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