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A174762 x-values in the solution x^2-61*y^2=1. 3
1, 1766319049, 6239765965720528801, 22042834973108102061352541449, 77869358613928486808166555366140995201, 275084262906388245923976756042747916825335226249, 971773147303355325052564141449134520779147876502526039201 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The corresponding values of y of this Pell equation are in A176364.
The next term has 67 digits. [From Harvey P. Dale, Jan. 15, 2011]
REFERENCES
Edward J. Barbeau, Pell's Equation (Springer-Verlag 2003) at pp. 23-24.
LINKS
N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)
N. J. Wildberger, Pell's equation without irrational numbers, J. Int. Seq. 13 (2010), 10.4.3, Section 7.
FORMULA
a(n) = 3532638098*a(n-1)-a(n-2) with a(1)=1, a(2)=1766319049.
G.f.: x*(1-1766319049*x)/(1-3532638098*x+x^2).
MATHEMATICA
LinearRecurrence[{3532638098, -1}, {1, 1766319049}, 20]
PROG
(Magma) I:=[1, 1766319049]; [n le 2 select I[n] else 3532638098*Self(n-1)-Self(n-2): n in [1..10]];
CROSSREFS
Cf. A176364.
Sequence in context: A034649 A211240 A258423 * A147769 A198177 A129616
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Apr 13 2010
STATUS
approved

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Last modified June 15 18:41 EDT 2024. Contains 373410 sequences. (Running on oeis4.)