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A227139
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Chebyshev S-polynomial evaluated at x = 48.
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0
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1, 48, 2303, 110496, 5301505, 254361744, 12204062207, 585540624192, 28093745899009, 1347914262528240, 64671790855456511, 3102898046799384288, 148874434455514989313, 7142869955817920102736, 342708883444804649942015
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OFFSET
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0,2
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COMMENTS
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This sequence, with a(-1) = 0, appears in the solution of the Pell equation u^2 - 23*v^2 = +1 for the solutions v = 5*a(n), n >= -1, together with u = A114051(n+1).
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LINKS
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FORMULA
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a(n) = S(n, 48), with the Chebyshev S-polynomial, with coefficients given in A049310.
a(n) = 48*a(n-1) - a(n-2), n >= 1, a(-1) = 0, a(0) = 1.
O.g.f.: 1/(1 - 48*x + x^2).
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MATHEMATICA
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LinearRecurrence[{48, -1}, {1, 48}, 20] (* Harvey P. Dale, Aug 26 2013 *)
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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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