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A264351 The x member of the positive proper fundamental solution (x = x2(n), y = y2(n)) of the second class for the Pell equation x^2 - D(n)*y^2 = +8 for odd D(n) = A263012(n). 7

%I #7 Nov 17 2015 19:15:12

%S 29,1223,1040241,9217,3642669,445435,122279,3667,441089445,1034361,

%T 700801,866477098293,536018000953,13456978719,74857,111814836531,

%U 2150319955,991403378623407,20008281106509024285,7993723517,17651941238270751,12685,5754260987908903,3427370031,401477253306854423,87725171,225660404935077273,539908248773809,7742211688546213,91867215744119283021,16849,2767937250852453,14617581481552992324155240733,5404928819007703,1310525

%N The x member of the positive proper fundamental solution (x = x2(n), y = y2(n)) of the second class for the Pell equation x^2 - D(n)*y^2 = +8 for odd D(n) = A263012(n).

%C The corresponding y = y2(n) member are given by A264350(n).

%C See A263012 for details and examples.

%F a(n)^2 - D(n)*y2(n)^2 = 8 with D(n) = A263012(n) and y2(n) = A264351(n), n >= 1.

%e n=1: 29^2 - 17*7^2 = 8. n=4: 9217^2 - 89*977^2 = 8.

%Y Cf. A263011, A263012, A264349, A264350, A264353.

%K nonn

%O 1,1

%A _Wolfdieter Lang_, Nov 17 2015

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Last modified September 14 11:47 EDT 2024. Contains 375921 sequences. (Running on oeis4.)