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Search: id:A132592
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A132592 Sequence allows us to find X values of the equation: X(X + 1) - 8*Y^2 = 0. +0
1
0, 8, 288, 9800, 332928, 11309768, 384199200, 13051463048, 443365544448, 15061377048200, 511643454094368, 17380816062160328, 590436102659356800, 20057446674355970888, 681362750825443653408, 23146276081390728245000 (list; graph; listen)
OFFSET

0,2

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 (ppl(AT)spl.at), Oct 07 2008]

a(n) = (A056771(n) - 1)/2 [From Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009]

CROSSREFS

Cf. A007654.

Sequence in context: A060355 A060859 A054607 this_sequence A034977 A065141 A000842

Adjacent sequences: A132589 A132590 A132591 this_sequence A132593 A132594 A132595

KEYWORD

nonn,new

AUTHOR

Mohamed Bouhamida (bhmd95(AT)yahoo.fr), Nov 14 2007

EXTENSIONS

More terms from Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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