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Search: id:A145319
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| A145319 |
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Numbers Y such that 93*Y^2+31 is a square |
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+0
1
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| 45, 1093635, 26577517725, 645886834659315, 15696341829313155405, 381452498490081467992995, 9270058602609618005852609085, 225280963779166438288148637990675
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OFFSET
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1,1
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FORMULA
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a(n+2)=24302*a(n+1)-a(n)
a(n)=(7/3)*sqrt(93)*{[12151+1260*sqrt(93)]^n-[12151-1260*sqrt(93)]^n}+(45/2)*{[12151+1260*sqrt(93)]^n+[12151-1260*sqrt(93)]^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)=45 because the first relation is : 434^2=93*45^2+31
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CROSSREFS
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Sequence in context: A007537 A125113 A003739 this_sequence A089626 A110479 A023934
Adjacent sequences: A145316 A145317 A145318 this_sequence A145320 A145321 A145322
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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 07 2008
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