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A174759 x-values in the solution to x^2-57*y^2=1. 2
1, 151, 45601, 13771351, 4158902401, 1255974753751, 379300216730401, 114547409477827351, 34592938362087129601, 10446952837940835312151, 3154945164119770177140001, 952782992611332652660968151 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The corresponding values of y of this Pell equation are in A175015.
LINKS
FORMULA
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).
MATHEMATICA
LinearRecurrence[{302, -1}, {1, 151}, 30]
PROG
(Magma) I:=[1, 151]; [n le 2 select I[n] else 302*Self(n-1)-Self(n-2): n in [1..20]];
CROSSREFS
Cf. A175015.
Sequence in context: A060889 A206362 A200934 * A289821 A234348 A185394
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Apr 13 2010
STATUS
approved

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Last modified May 28 00:20 EDT 2024. Contains 372900 sequences. (Running on oeis4.)