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A174758 x-values in the solution to x^2-55*y^2=1. 2
1, 89, 15841, 2819609, 501874561, 89330852249, 15900389825761, 2830180058133209, 503756149957885441, 89665764512445475289, 15960002327065336716001, 2840790748453117489972889 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The corresponding values of y of this Pell equation are in A175014.
LINKS
FORMULA
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).
MATHEMATICA
LinearRecurrence[{178, -1}, {1, 89}, 30]
PROG
(Magma) I:=[1, 89]; [n le 2 select I[n] else 178*Self(n-1)-Self(n-2): n in [1..20]];
CROSSREFS
Cf. A175014.
Sequence in context: A116254 A086695 A056568 * A181681 A167398 A023330
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Apr 13 2010
STATUS
approved

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Last modified May 29 14:43 EDT 2024. Contains 372952 sequences. (Running on oeis4.)