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A145525
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Numbers X such that there exists Y in N : X^2=273*Y^2+91
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0
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182, 264446, 384504302, 559068990662, 812885927918246, 1181935580124139022, 1718533520614570219742, 2498746557038004975365846, 3633175775399738619611720342, 5282635078684662914910466011422
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| a(n+2)=1454*a(n+1)-a(n)
a(n)=91*{[727-44*sqrt(273)]^n+[727+44*sqrt(273)]^n}-(11/2)*sqrt(273)*{[727-44*sqrt(273)]^n -[727+44*sqrt(273)]^n}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Nov 25 2008]
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EXAMPLE
| a(1)=182 because the first relation is 182^2=273*11^2+91
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CROSSREFS
| Sequence in context: A048546 A015306 A190830 * A028676 A133609 A030465
Adjacent sequences: A145522 A145523 A145524 * A145526 A145527 A145528
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KEYWORD
| easy,nonn
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AUTHOR
| Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 12 2008
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