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Search: id:A129298
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| A129298 |
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Sequence allows us to find the solutions of the equation: X^2+(X+89)^2=Y^2. |
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16
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| 0, 51, 120, 267, 540, 931, 1780, 3367, 5644, 10591, 19840, 33111, 61944, 115851, 193200, 361251, 675444, 1126267, 2105740, 3936991, 6564580, 12273367, 22946680, 38261391, 71534640, 133743267, 223003944
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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+89,Y) ordered by increasing Y; sequence gives X values.
a(3n)=89*A001652(n), n=0,1,2,... (Zak Seidov, May 28, 2007)
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FORMULA
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a(n) = 6*a(n-3)-a(n-6)+178 with a(0) = 0, a(1) = 51, a(2) = 120, a(3) = 267, a(4) = 540, a(5) = 931
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CROSSREFS
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Adjacent sequences: A129295 A129296 A129297 this_sequence A129299 A129300 A129301
Sequence in context: A031894 A068564 A063314 this_sequence A065010 A116630 A097644
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KEYWORD
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nonn
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AUTHOR
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Mohamed Bouhamida (bhmd95(AT)yahoo.fr), May 26 2007
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