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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
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
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Apr 13 2010
STATUS
approved

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Last modified May 25 01:44 EDT 2024. Contains 372782 sequences. (Running on oeis4.)