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A174770
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y-values in the solution to x^2 - 29*y^2 = 1.
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2
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0, 1820, 35675640, 699313893460, 13707950903927280, 268703252919468649100, 5267121150019473555730920, 103246108513978467719968844740, 2023830213823884774227355738862560
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OFFSET
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1,2
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COMMENTS
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The corresponding values of x of this Pell equation are in A174769.
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LINKS
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FORMULA
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a(n) = 19602*a(n-1)-a(n-2) with a(1)=0, a(2)=1820.
G.f.: 1820*x^2/(1-19602*x+x^2).
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MATHEMATICA
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LinearRecurrence[{19602, -1}, {0, 1820}, 30]
Table[-((9801-1820*Sqrt[29])^x-(9801+1820*Sqrt[29])^x)/(2*Sqrt[29]), {x, 0, 10}]// Simplify (* Harvey P. Dale, Jul 02 2022 *)
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PROG
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(Magma) I:=[0, 1820]; [n le 2 select I[n] else 19602*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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STATUS
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approved
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