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A174758
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x-values in the solution to x^2-55*y^2=1.
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2
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1, 89, 15841, 2819609, 501874561, 89330852249, 15900389825761, 2830180058133209, 503756149957885441, 89665764512445475289, 15960002327065336716001, 2840790748453117489972889
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OFFSET
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1,2
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COMMENTS
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The corresponding values of y of this Pell equation are in A175014.
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LINKS
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FORMULA
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a(n) = 178*a(n-1)-a(n-2) with a(1)=1, a(2)=89.
G.f.: x*(1-89*x)/(1-178*x+x^2).
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MATHEMATICA
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LinearRecurrence[{178, -1}, {1, 89}, 30]
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PROG
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(Magma) I:=[1, 89]; [n le 2 select I[n] else 178*Self(n-1)-Self(n-2): n in [1..20]];
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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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_Vincenzo Librandi_, Apr 13 2010
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STATUS
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approved
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