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Search: id:A145334
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| A145334 |
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Numbers x such that (x+43)^3-x^3 is a square |
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+0
1
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| 1118, 38413663, 1294925303334, 43651931937700199, 1471506624324949129678, 49604488262342103224469903, 1672167297852045675371932025174, 56368759560987971454445725344870359
(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)=33710*a(n+1)-a(n)+724722
a(n)=-(43/2)+(2279/4)*{[16855+1484*sqrt(129)]^n+[16855-1484*sqrt(129)]^n}-(301/6)*sqrt(129)*{[16855-1484*sqrt(129)]^n -[16855+1484*sqrt(129)]^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)=1118 because the first relation is : (118+43)^3-1118^3=12943^2
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CROSSREFS
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Sequence in context: A027622 A161848 A020380 this_sequence A032777 A032779 A028464
Adjacent sequences: A145331 A145332 A145333 this_sequence A145335 A145336 A145337
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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 08 2008
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