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A157106
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5651522n^2 - 2541672n + 285769.
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3
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3395619, 17808513, 43524451, 80543433, 128865459, 188490529, 259418643, 341649801, 435184003, 540021249, 656161539, 783604873, 922351251, 1072400673, 1233753139, 1406408649, 1590367203, 1785628801, 1992193443, 2210061129
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OFFSET
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1,1
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COMMENTS
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The identity (5651522*n^2-2541672*n+285769)^2-(1681*n^2-756*n+85)*(137842*n-30996)^2=1 can be written as a(n)^2-A157010(n)*A157105(n)^2=1.
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LINKS
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FORMULA
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a(n) = 3*a(n-1) -3*a(n-2) +a(n-3).
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MAPLE
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MATHEMATICA
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LinearRecurrence[{3, -3, 1}, {3395619, 17808513, 43524451}, 30]
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PROG
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(Magma) I:=[3395619, 17808513, 43524451]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+1*Self(n-3): n in [1..40]];
(PARI) a(n) = 5651522*n^2 - 2541672*n + 285769.
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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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