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A145530
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Numbers x such that there exists n in N with (x+1)^3-x^3=91*n^2.
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1
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5, 8002, 11635629, 16918197290, 24599047224757, 35766997746600114, 52005190124509341725, 75615510674038836268762, 109944900514862343425438949, 159859809733099173301751963810, 232436053407025683118403929941517, 337961861794005610154986012383002634
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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) = 1454*a(n+1)-a(n)+726.
G.f.: x*(6*x^2-727*x-5) / ((x-1)*(x^2-1454*x+1)). - Colin Barker, Oct 18 2014
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EXAMPLE
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a(1)=5 because the first relation is (5+1)^3-5^3=91*1^2.
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MATHEMATICA
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LinearRecurrence[{1455, -1455, 1}, {5, 8002, 11635629}, 15] (* Paolo Xausa, Jan 17 2024 *)
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PROG
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(PARI) Vec(x*(6*x^2-727*x-5)/((x-1)*(x^2-1454*x+1)) + O(x^20)) \\ Colin Barker, Oct 18 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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