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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

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (302,-1).

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

Adjacent sequences:  A174756 A174757 A174758 * A174760 A174761 A174762

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 13 2010

STATUS

approved

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Last modified May 18 13:38 EDT 2021. Contains 343995 sequences. (Running on oeis4.)