A198294 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+217)^2 = y^2.

0, 63, 68, 135, 155, 248, 276, 407, 420, 651, 980, 1007, 1376, 1488, 2015, 2175, 2928, 3003, 4340, 6251, 6408, 8555, 9207, 12276, 13208, 17595, 18032, 25823, 36960, 37875, 50388, 54188, 72075, 77507, 103076, 105623, 151032, 215943, 221276, 294207, 316355

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,6,-6,0,0,0,0,0,0,0,-1,1).

Formula

G.f.: x^2*(49*x^17 +3*x^16 +33*x^15 +8*x^14 +31*x^13 +8*x^12 +33*x^11 +3*x^10 +49*x^9 -231*x^8 -13*x^7 -131*x^6 -28*x^5 -93*x^4 -20*x^3 -67*x^2 -5*x -63)/((x -1)*(x^18 -6*x^9 +1)). - Colin Barker, Aug 05 2012

Mathematica

LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0, 0, -1, 1}, {0, 63, 68, 135, 155, 248, 276, 407, 420, 651, 980, 1007, 1376, 1488, 2015, 2175, 2928, 3003, 4340}, 110]

Crossrefs

Cf. A185394, A206426.

Sequence in context: A263282 A295695 A045271 * A095601 A095591 A095579

Adjacent sequences: A198291 A198292 A198293 * A198295 A198296 A198297

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Feb 09 2012

Status

approved