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y-values in the solution to 10*x^2-9 = y^2.
2

%I #22 Mar 20 2023 03:45:04

%S 1,9,41,79,351,1559,3001,13329,59201,113959,506151,2248079,4327441,

%T 19220409,85367801,164328799,729869391,3241728359,6240166921,

%U 27715816449,123100309841,236962014199,1052471155671,4674570045599,8998316372641,39966188099049,177510561422921

%N y-values in the solution to 10*x^2-9 = y^2.

%H Vincenzo Librandi, <a href="/A198943/b198943.txt">Table of n, a(n) for n = 1..250</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,38,0,0,-1).

%F a(n+6) = 38*a(n+3)-a(n) with a(1)=1, a(2)=9, a(3)=41, a(4)=79, a(5)=351.

%F G.f.: x*(1+x)*(1+8*x+33*x^2+8*x^3+x^4)/(1-38*x^3+x^6). - _Bruno Berselli_, Nov 04 2011

%t LinearRecurrence[{0,0, 38, 0,0, -1}, {1, 9, 41, 79, 351, 1559}, 27] (* _Bruno Berselli_, Nov 11 2011 *)

%Y Cf. A052454.

%K nonn,easy

%O 1,2

%A _Sture Sjöstedt_, Oct 31 2011

%E More terms from _Bruno Berselli_, Nov 04 2011