A207075 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+479)^2 = y^2.

0, 280, 637, 1437, 2937, 4960, 9580, 18300, 30081, 57001, 107821, 176484, 333384, 629584, 1029781, 1944261, 3670641, 6003160, 11333140, 21395220, 34990137, 66055537, 124701637, 203938620, 385001040, 726815560, 1188642541, 2243951661, 4236192681, 6927917584

Offset

1,2

Links

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

Wikipedia, Diophantine equation

MathWorld, Diophantine equation

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

Formula

G.f.: x^2*(180*x^5 + 119*x^4 + 180*x^3 - 800*x^2 - 357*x - 280)/((x-1)*(x^6-6*x^3+1)). [Colin Barker, Aug 05 2012]

Mathematica

LinearRecurrence[ {1, 0, 6, -6, 0, -1, 1}, {0, 280, 637, 1437, 2937, 4960, 9580}, 50]

Crossrefs

Cf. A205672, A207058, A207059, A207060, A207061

Sequence in context: A361038 A245208 A256708 * A242039 A234911 A234905

Adjacent sequences: A207072 A207073 A207074 * A207076 A207077 A207078

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Feb 14 2012

Status

approved