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Search: id:A145527
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| A145527 |
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Numbers n such that there exists x in N : (x+91)^3-x^3=n^2 |
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+0
1
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| 8281, 12032293, 17494945741, 25437639075121, 36986309720280193, 53778068895648325501, 78193275187962944998261, 113692968345229226379145993, 165309497780688107192333275561
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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)=(8281/2)*{[727-44*sqrt(273)]^n+[727+44*sqrt(273)]^n}-(1001/4)*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)=8281 because the first relation is (455+91)^3-455^3=8281^2
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CROSSREFS
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Sequence in context: A166194 A157731 A064014 this_sequence A054215 A031679 A031589
Adjacent sequences: A145524 A145525 A145526 this_sequence A145528 A145529 A145530
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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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