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A175015 y-values in the solution to x^2-57*y^2=1. 2
0, 20, 6040, 1824060, 550860080, 166357920100, 50239541010120, 15172175027136140, 4581946618654104160, 1383732706658512320180, 417882695464252066590200, 126199190297497465597920220 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The corresponding values of x of this Pell equation are in A174759.

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)=0, a(2)=20.

G.f.: 20*x^2/(1-302*x+x^2).

MATHEMATICA

LinearRecurrence[{302, -1}, {0, 20}, 30]

PROG

(MAGMA) I:=[0, 20]; [n le 2 select I[n] else 302*Self(n-1)-Self(n-2): n in [1..20]];

CROSSREFS

Cf. A174759.

Sequence in context: A250020 A088852 A123379 * A135292 A222721 A223051

Adjacent sequences:  A175012 A175013 A175014 * A175016 A175017 A175018

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 15 2010

STATUS

approved

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Last modified August 17 21:11 EDT 2017. Contains 290656 sequences.