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Search: id:A145206
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| A145206 |
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Numbers X such that 201*X^2+67 is a square |
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+0
1
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| 293, 301845963, 310958692622677, 320346535552653772667, 330017797460677431371194053, 339981034765694936488737747687403, 350245062204941248823872062858714502517
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n+2)=1030190*a(n+1)-a(n)
a(n)=(293/2)*{[515095+124*sqrt(17255649)]^n+[515095-124*sqrt(17255649))^n}-(31/879)*sqrt(17255649)*{[515095-124 *sqrt(17255649)]^n-[515095+124*sqrt(17255649)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 25 2008]
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EXAMPLE
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the firt relation is 4154^2=201*293^2+67
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CROSSREFS
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Sequence in context: A109182 A085502 A108828 this_sequence A153579 A132187 A128965
Adjacent sequences: A145203 A145204 A145205 this_sequence A145207 A145208 A145209
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KEYWORD
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easy,nonn
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AUTHOR
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Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 04 2008
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