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A204419
y-values in the solutions to x^2 - 313*y^2 = 1.
0
0, 1819380158564160, 117124856755987405647781716823680, 7540058082713667504003446125203741470945194284480, 485400601250164750241979240919394389707542655611270208094258863360
OFFSET
1,2
REFERENCES
A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1996, p. 248.
LINKS
G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 313
FORMULA
a(n) = 64376241658269698*a(n-1) - a(n-2) with a(1) = 0 and a(2) = 1819380158564160.
G.f.: 1819380158564160*x^2/(1 - 64376241658269698*x + x^2).
MATHEMATICA
LinearRecurrence[{64376241658269698, -1}, {0, 1819380158564160}, 5]
PROG
(Magma) I:=[0, 1819380158564160]; [n le 2 select I[n] else 64376241658269698*Self(n-1)-Self(n-2): n in [1..10]]; // Vincenzo Librandi, May 16 2015
CROSSREFS
Sequence in context: A257138 A288279 A318170 * A067495 A335044 A216910
KEYWORD
nonn,easy
AUTHOR
STATUS
approved