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Search: id:A132644
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A132644 Sequence allows us to find X values of the equation: X(X + 1) - 13*Y^2 = 0. +0
1
0, 324, 421200, 546717924, 709639444800, 921111452633124, 1195601955878350800, 1551890417618646705924, 2014352566467047545939200, 2614628079383810095982376324, 3393785232687619037537578530000 (list; graph; listen)
OFFSET

0,2

FORMULA

a(0)=0, a(1)=324 and a(n)=1298*a(n-1) - a(n-2) + 648.

a(n)=-(1/2)+(1/4)*[649+180*sqrt(13)]^n+(1/4)*[649-180*sqrt(13)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Oct 07 2008]

CROSSREFS

Cf. A007654.

Sequence in context: A128992 A088216 A121001 this_sequence A013763 A013887 A000443

Adjacent sequences: A132641 A132642 A132643 this_sequence A132645 A132646 A132647

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

More terms from Paolo P. Lava (ppl(AT)spl.at), Oct 07 2008

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Last modified December 4 15:51 EST 2008. Contains 151308 sequences.


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