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A174759
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x-values in the solution to x^2-57*y^2=1.
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2
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1, 151, 45601, 13771351, 4158902401, 1255974753751, 379300216730401, 114547409477827351, 34592938362087129601, 10446952837940835312151, 3154945164119770177140001, 952782992611332652660968151
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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 A175015.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..200
Index entries for linear recurrences with constant coefficients, signature (302,-1).
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FORMULA
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a(n) = 302*a(n-1)-a(n-2) with a(1)=1 a(2)=151.
G.f.: x*(1-151*x)/(1-302*x+x^2).
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MATHEMATICA
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LinearRecurrence[{302, -1}, {1, 151}, 30]
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PROG
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(MAGMA) I:=[1, 151]; [n le 2 select I[n] else 302*Self(n-1)-Self(n-2): n in [1..20]];
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CROSSREFS
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Cf. A175015.
Sequence in context: A060889 A206362 A200934 * A289821 A234348 A185394
Adjacent sequences: A174756 A174757 A174758 * A174760 A174761 A174762
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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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