|
|
A204419
|
|
y-values in the solutions to x^2 - 313*y^2 = 1.
|
|
0
|
|
|
0, 1819380158564160, 117124856755987405647781716823680, 7540058082713667504003446125203741470945194284480, 485400601250164750241979240919394389707542655611270208094258863360
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
REFERENCES
|
A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1996, p. 248.
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|