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A205644
Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+287)^2 = y^2.
7
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
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
KEYWORD
nonn,easy
AUTHOR
STATUS
approved