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Search: id:A145526
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| A145526 |
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Numbers Y such that 273*Y^2+91 is a square |
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+0
1
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| 11, 16005, 23271259, 33836394581, 49198094449515, 71533995493200229, 104010380249018683451, 151231021348077672537525, 219889801029724686850877899, 319719619466198346603503927621
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OFFSET
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1,1
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FORMULA
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a(n+2):=1454*a(n+1)-a(n)
a(n)=(11/2)*{[727-44*sqrt(273)]^n+[727+44*sqrt(273)]^n}-(1/3)*sqrt(273)*{[727-44*sqrt(273)]^n -[727+44*sqrt(273)]^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)=11 because the first relation is : 182^2=273*11^2+91
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CROSSREFS
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Sequence in context: A061965 A013748 A076783 this_sequence A068647 A102367 A055322
Adjacent sequences: A145523 A145524 A145525 this_sequence A145527 A145528 A145529
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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 12 2008
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