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A145209
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Numbers x such that (x+67)^3-x^3 is a square.
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1
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9782, 10111839727, 10417116202859646, 10731608941013901384311, 11055596214932693950935000742, 11389364664650780372372714547527967, 11733209583865531835599714105766935834286, 12087435181191042877051818694247666912610077671
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n+2) = 1030190*a(n+1)-a(n)+34511298.
G.f.: 67*x*(147*x^2-515095*x-146) / ((x-1)*(x^2-1030190*x+1)). - Colin Barker, Oct 20 2014
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EXAMPLE
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The first relation is : (9782+67)^3-9782^3=139159^2.
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MATHEMATICA
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LinearRecurrence[{1030191, -1030191, 1}, {9782, 10111839727, 10417116202859646}, 20] (* Harvey P. Dale, Jun 16 2021 *)
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PROG
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(PARI) Vec(67*x*(147*x^2-515095*x-146)/((x-1)*(x^2-1030190*x+1)) + O(x^20)) \\ Colin Barker, Oct 20 2014
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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