A207061 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+433)^2 = y^2.

0, 92, 935, 1299, 1775, 6552, 8660, 11424, 39243, 51527, 67635, 229772, 301368, 395252, 1340255, 1757547, 2304743, 7812624, 10244780, 13434072, 45536355, 59711999, 78300555, 265406372, 348028080, 456370124, 1546902743, 2028457347, 2659921055, 9016010952

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*(76*x^5+281*x^4+76*x^3-364*x^2-843*x-92)/((x-1)*(x^6-6*x^3+1)). - Colin Barker, Aug 05 2012

Mathematica

LinearRecurrence[ {1, 0, 6, -6, 0, -1, 1}, {0, 92, 935, 1299, 1775, 6552, 8660}, 50]

Crossrefs

Cf. A205644, A205672, A207058, A207059, A207060.

Sequence in context: A231300 A176630 A281077 * A279913 A172449 A251934

Adjacent sequences: A207058 A207059 A207060 * A207062 A207063 A207064

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Feb 14 2012

Status

approved