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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
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9782, 10111839727, 10417116202859646, 10731608941013901384311, 11055596214932693950935000742, 11389364664650780372372714547527967, 11733209583865531835599714105766935834286
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| 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 (paoloplava(AT)gmail.com), Nov 25 2008]
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EXAMPLE
| The first relation is : (9782+67)^3-9782^3=139159^2
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CROSSREFS
| Sequence in context: A204286 A010092 A023339 * A035911 A069333 A156735
Adjacent sequences: A145206 A145207 A145208 * A145210 A145211 A145212
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KEYWORD
| easy,nonn
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AUTHOR
| Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 04 2008, Oct 05 2008
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