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A174756 x-values in the solution to x^2-51*y^2=1. 2
1, 50, 4999, 499850, 49980001, 4997500250, 499700044999, 49965006999650, 4996000999920001, 499550134985000450, 49950017497500124999, 4994502199615027499450, 499400269944005249820001 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The corresponding values of y of this Pell equation are in A174855.

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (100,-1).

FORMULA

a(n) = 100*a(n-1)-a(n-2) with a(1)=1, a(2)=50.

G.f.: x*(1-50*x)/(1-100*x+x^2).

MATHEMATICA

LinearRecurrence[{100, -1}, {1, 50}, 30]

PROG

(MAGMA) I:=[1, 50]; [n le 2 select I[n] else 100*Self(n-1)-Self(n-2): n in [1..20]];

CROSSREFS

Cf. A174855.

Sequence in context: A010564 A183689 A248205 * A231937 A230477 A320099

Adjacent sequences:  A174753 A174754 A174755 * A174757 A174758 A174759

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 13 2010

STATUS

approved

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Last modified June 15 22:06 EDT 2021. Contains 345053 sequences. (Running on oeis4.)