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A174757
x-values in the solution to x^2-53*y^2=1.
2
1, 66249, 8777860001, 1163048894346249, 154101652394311440001, 20418160737778428282906249, 2705365461280064538234200740001, 358455512868267830449176701365746249
OFFSET
1,2
COMMENTS
The corresponding values of y of this Pell equation are in A174983.
FORMULA
a(n) = 132498*a(n-1)-a(n-2) with a(1)=1, a(2)=66249.
G.f.: x*(1-66249*x)/(1-132498*x+x^2)
MATHEMATICA
LinearRecurrence[{132498, -1}, {1, 66249}, 30]
PROG
(Magma) I:=[1, 66249]; [n le 2 select I[n] else 132498*Self(n-1)-Self(n-2): n in [1..20]];
CROSSREFS
Cf. A174983.
Sequence in context: A092376 A251333 A157620 * A164129 A043591 A022256
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Apr 13 2010
STATUS
approved