A207076 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+487)^2 = y^2.

0, 185, 836, 1461, 2436, 6125, 9740, 15405, 36888, 57953, 90968, 216177, 338952, 531377, 1261148, 1976733, 3098268, 7351685, 11522420, 18059205, 42849936, 67158761, 105257936, 249748905, 391431120, 613489385, 1455644468, 2281428933, 3575679348, 8484118877

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*(135*x^5+217*x^4+135*x^3-625*x^2-651*x-185)/((x-1)*(x^6-6*x^3+1)). [Colin Barker, Aug 05 2012]

Mathematica

LinearRecurrence[ {1, 0, 6, -6, 0, -1, 1}, {0, 185, 836, 1461, 2436, 6125, 9740}, 50]

Crossrefs

Cf. A207058, A207059, A207060, A207061, A207075

Sequence in context: A301991 A136048 A209373 * A189181 A203392 A197646

Adjacent sequences: A207073 A207074 A207075 * A207077 A207078 A207079

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Feb 14 2012

Status

approved