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Search: id:A145209
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| A145209 |
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Numbers x such that (x+67)^3-x^3 is a square. |
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+0
1
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| 9782, 10111839727, 10417116202859646, 10731608941013901384311, 11055596214932693950935000742, 11389364664650780372372714547527967, 11733209583865531835599714105766935834286
(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)=1030190*a(n+1)-a(n)+34511298.
a(n)=-(67/2)+(19631/4)*{[515095+124*sqrt(17255649)]^n+[515095-124*sqrt(17255649))^n}-(2077/1758)*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 : (9782+67)^3-9782^3=139159^2
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CROSSREFS
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Sequence in context: A023687 A010092 A023339 this_sequence A035911 A069333 A156721
Adjacent sequences: A145206 A145207 A145208 this_sequence A145210 A145211 A145212
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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, Oct 05 2008
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