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A207078
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Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+511)^2 = y^2.
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2
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0, 33, 156, 308, 365, 584, 665, 969, 1380, 1533, 1700, 2349, 3185, 3504, 4745, 5208, 6956, 9333, 10220, 11189, 14960, 19824, 21681, 28908, 31605, 41789, 55640, 60809, 66456, 88433, 116781, 127604, 169725, 185444, 244800, 325529, 355656, 388569, 516660
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OFFSET
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1,2
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LINKS
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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).
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FORMULA
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G.f.: x^2*(31*x^17 +89*x^16 +76*x^15 +23*x^14 +73*x^13 +23*x^12 +76*x^11 +89*x^10 +31*x^9 -153*x^8 -411*x^7 -304*x^6 -81*x^5 -219*x^4 -57*x^3 -152*x^2 -123*x -33)/((x -1)*(x^18 -6*x^9 +1)). [Colin Barker, Aug 05 2012]
a(n) = a(n-1)+6*a(n-9)-6*a(n-10)-a(n-18)+a(n-19). - Wesley Ivan Hurt, May 31 2021
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MATHEMATICA
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LinearRecurrence[ {1, 0, 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0, 0, -1, 1}, {0, 33, 156, 308, 365, 584, 665, 969, 1380, 1533, 1700, 2349, 3185, 3504, 4745, 5208, 6956, 9333, 10220}, 50]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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