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A370188
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a(n) = sqrt((A114052(n)^2 - 1)/27)/5.
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1
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0, 1, 52, 2703, 140504, 7303505, 379641756, 19734067807, 1025791884208, 53321443911009, 2771689291488260, 144074521713478511, 7489103439809394312, 389289304348375025713, 20235554722675691942764, 1051859556274787605998015, 54676461371566279819954016, 2842124131765171763031610817
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OFFSET
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0,3
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COMMENTS
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5*a(n) are the y-values in solutions to x^2 - 27*y^2 = 1.
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LINKS
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FORMULA
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G.f.: x/(1 - 52*x + x^2).
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EXAMPLE
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a(2) = 52: A114052(2) = 1351; 1351^2 - 27*(5*52)^2 = 1825201 - 1825200 = 1.
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MATHEMATICA
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LinearRecurrence[{52, -1}, {0, 1}, 18]
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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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