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Search: id:A145210
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| A145210 |
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Numbers n such that there exists x in N : (x+1)^3-x^3=67*n^2 |
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+0
1
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| 31, 31935859, 32900002583179, 33893253661133238151, 34916490989129950608195511, 35970619852057890563395800238939, 37056572865356601788515589497544372899
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OFFSET
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1,1
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FORMULA
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a(n+2)=1030190*a(n+1)-a(n)
a(n)=(31/2)*{[515095+124*sqrt(17255649)]^n+[515095-124*sqrt(17255649)]^n}-(1/268)*sqrt(17255649)*{[515095-124 *sqrt(17255649)]^n-[515095+124*sqrt(17255649)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 25 2008]
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EXAMPLE
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the first relation is : 147^3-146^3=67*31^2
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CROSSREFS
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Sequence in context: A123523 A079595 A051155 this_sequence A091308 A023927 A057376
Adjacent sequences: A145207 A145208 A145209 this_sequence A145211 A145212 A145213
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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 04 2008
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