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A132592
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Sequence allows us to find X values of the equation: X(X + 1) - 8*Y^2 = 0.
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22
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0, 8, 288, 9800, 332928, 11309768, 384199200, 13051463048, 443365544448, 15061377048200, 511643454094368, 17380816062160328, 590436102659356800, 20057446674355970888, 681362750825443653408, 23146276081390728245000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(0)=0, a(1)=8 and a(n)=34*a(n-1) - a(n-2) + 16.
a(n)=-(1/2)+(1/4)*[17-12*sqrt(2)]^n+(1/4)*[17+12*sqrt(2)]^n, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Oct 07 2008]
a(n) = (A056771(n) - 1)/2 [From Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009]
a(n) = Sinh[2 n ArcCosh[Sqrt[2]]^2 (n=0,1,2,3,...) [From Artur Jasinski (grafix(AT)csl.pl), Feb 10 2010]
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MATHEMATICA
| Table[Round[N[Sinh[2 n ArcCosh[Sqrt[2]]]^2, 100]], {n, 0, 20}] [From Artur Jasinski (grafix(AT)csl.pl), Feb 10 2010]
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CROSSREFS
| Cf. A007654.
A058331 A001079, A037270, A071253, A108741, A132592, A146311, A146312, A146313, A173115,A173116 A173121. [From Artur Jasinski (grafix(AT)csl.pl), Feb 10 2010]
Sequence in context: A187289 A187191 A054607 * A034977 A065141 A190840
Adjacent sequences: A132589 A132590 A132591 * A132593 A132594 A132595
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KEYWORD
| nonn
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AUTHOR
| Mohamed Bouhamida (bhmd95(AT)yahoo.fr), Nov 14 2007
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EXTENSIONS
| More terms from Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009
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