A205644 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+287)^2 = y^2.

0, 25, 36, 205, 252, 273, 328, 705, 748, 861, 988, 1045, 1968, 2233, 2352, 2665, 4836, 5085, 5740, 6477, 6808, 12177, 13720, 14413, 16236, 28885, 30336, 34153, 38448, 40377, 71668, 80661, 84700, 95325, 169048, 177505, 199752, 224785, 236028, 418405, 470820

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*(23*x^17 +9*x^16 +91*x^15 +17*x^14 +7*x^13 +17*x^12 +91*x^11 +9*x^10 +23*x^9 -113*x^8 -43*x^7 -377*x^6 -55*x^5 -21*x^4 -47*x^3 -169*x^2 -11*x -25)/((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, 25, 36, 205, 252, 273, 328, 705, 748, 861, 988, 1045, 1968, 2233, 2352, 2665, 4836, 5085, 5740}, 70]

Crossrefs

Cf. A185394, A198294, A203619, A204765, A206426.

Sequence in context: A161783 A066217 A265211 * A077437 A077676 A030671

Adjacent sequences: A205641 A205642 A205643 * A205645 A205646 A205647

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Feb 09 2012

Status

approved