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Search: id:A118611
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| A118611 |
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The sequence allows us to find the solutions of the equation X^2+(X+343)^2=Y^2. |
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+0
4
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| 0, 77, 132, 245, 392, 585, 728, 1029, 1428, 1725, 2352, 3185, 4292, 5117, 6860, 9177, 10904, 14553, 19404, 25853, 30660, 40817, 54320, 64385, 85652, 113925, 151512, 179529, 238728, 317429, 376092, 500045, 664832, 883905, 1047200, 1392237
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Consider all Pythagorean triples (X,X+343,y) ordered by increasing y; sequence gives X values.
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FORMULA
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a(n)=6*a(n-7)-a(n-14)+686 with a(0)=0,a(1)=77,a(2)=132,a(3)=245,a(4)=392, a(5)=585, a(6)=728, a(7)=1029, a(8)=1428, a(9)=1725,a(10)=2352,a(11)=3185, a(12)=4292,a(13)=5117.
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CROSSREFS
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Cf. A118554.
Sequence in context: A127335 A105998 A039444 this_sequence A072431 A046435 A004964
Adjacent sequences: A118608 A118609 A118610 this_sequence A118612 A118613 A118614
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KEYWORD
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nonn,uned
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AUTHOR
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Mohamed Bouhamida (bhmd95(AT)yahoo.fr), May 08 2006
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