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Search: id:A145304
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| A145304 |
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Numbers X such that there exists Y in N : X^2=237*Y^2+79 |
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+0
1
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| 3002, 1369815602, 625049598820802, 285211382039759778602, 130142524046881416896829002, 59384294007354872910817107492002, 27097172124013900694904786365918667602
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OFFSET
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1,1
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FORMULA
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a(n+2)=456302*a(n+1)-a(n)
a(n)=1501*{[228151+14820*sqrt(237)]^n+[228151-14820*sqrt(237)]^n}-(195/2)*sqrt(237)*{[228151-14820*sqrt(237)]^n}-[228151+14820*sqrt(237)]^n }, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 25 2008]
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EXAMPLE
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a(1)=3002 because the first relation is 3002^2=237*195^2+79
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CROSSREFS
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Sequence in context: A158861 A156655 A128935 this_sequence A094336 A100896 A140915
Adjacent sequences: A145301 A145302 A145303 this_sequence A145305 A145306 A145307
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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 06 2008
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