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A174763 x-values in the solution to x^2-62*y^2=1. 2
1, 63, 7937, 999999, 125991937, 15873984063, 1999996000001, 251983622016063, 31747936378023937, 3999988000008999999, 503966740064755975937, 63495809260159243968063, 7999968000039999984000001 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The corresponding values of y of this Pell equation are in A176367.

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (126,-1).

FORMULA

a(n) = 126*a(n-1)-a(n-2) with a(1)=1, a(2)=63.

G.f.: x*(1-63*x)/(1-126*x+x^2).

MATHEMATICA

LinearRecurrence[{126, -1}, {1, 63}, 30]

PROG

(MAGMA) I:=[1, 63]; [n le 2 select I[n] else 126*Self(n-1)-Self(n-2): n in [1..20]];

CROSSREFS

Cf. A176367.

Sequence in context: A093263 A069433 A178634 * A160871 A183525 A279043

Adjacent sequences:  A174760 A174761 A174762 * A174764 A174765 A174766

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 13 2010

STATUS

approved

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Last modified June 19 00:55 EDT 2019. Contains 324217 sequences. (Running on oeis4.)