cp's OEIS Frontend

A207077 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+497)^2 = y^2.

%I A207077 #22 Feb 16 2025 08:33:16
%S A207077 0,91,216,355,387,528,568,795,1120,1491,1960,2635,3408,3588,4387,4615,
%T A207077 5916,7791,9940,12663,16588,21087,22135,26788,28116,35695,46620,59143,
%U A207077 75012,97887,124108,130216,157335,165075,209248,272923,345912,438403,571728,724555
%N A207077 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+497)^2 = y^2.
%H A207077 Vincenzo Librandi, <a href="/A207077/b207077.txt">Table of n, a(n) for n = 1..1000</a>
%H A207077 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DiophantineEquation.html">Diophantine equation</a>.
%H A207077 Wikipedia, <a href="http://en.wikipedia.org/wiki/Diophantine_equation">Diophantine equation</a>.
%H A207077 <a href="/index/Rec#order_19">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,6,-6,0,0,0,0,0,0,0,-1,1).
%F A207077 G.f.: x^2*(77*x^17 +75*x^16 +61*x^15 +12*x^14 +47*x^13 +12*x^12 +61*x^11 +75*x^10 +77*x^9 -371*x^8 -325*x^7 -227*x^6 -40*x^5 -141*x^4 -32*x^3 -139*x^2 -125*x -91)/((x -1)*(x^18 -6*x^9 +1)). - _Colin Barker_, Aug 05 2012
%t A207077 LinearRecurrence[ {1, 0, 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0, 0, -1, 1}, {0, 91, 216, 355, 387, 528, 568, 795, 1120, 1491, 1960, 2635, 3408, 3588, 4387, 4615, 5916, 7791, 9940}, 50]
%Y A207077 Cf. A207059, A207060, A207061, A207075, A207076.
%K A207077 nonn,easy
%O A207077 1,2
%A A207077 _Vladimir Joseph Stephan Orlovsky_, Feb 14 2012