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Search: id:A129010
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| A129010 |
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Sequence allows us to find the solutions of the equation: X^2+(X+833)^2=Y^2. |
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+0
1
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| 0, 124, 168, 187, 343, 399, 595, 624, 915, 952, 1260, 1372, 1768, 1827, 1975, 2499, 3135, 3367, 3468, 4312, 4620, 5712, 5875, 7524, 7735, 9499, 10143, 12427, 12768, 13624, 16660, 20352, 21700, 22287, 27195, 28987, 35343, 36292, 45895, 47124
(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+833,Y) ordered by increasing Y; sequence gives X values.
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FORMULA
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a(n) = 6*a(n-15)-a(n-30)+1666 with a(0) = 0, a(1) = 124, a(2) = 168, a(3) = 187, a(4) = 343, a(5) = 399, a(6) = 595, a(7) = 624, a(8) = 915, a(9) = 952, a(10) = 1260, a(11) = 1372, a(12) = 1768, a(13) = 1827, a(14) = 1975, a(15) = 2499, a(16) = 3135, a(17) = 3367, a(18) = 3468, a(19) = 4312, a(20) = 4620, a(21) = 5712, a(22) = 5875, a(23) = 7524, a(24) = 7735, a(25) = 9499, a(26) = 10143, a(27) = 12427, a(28) = 12768, a(29) = 13624.
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CROSSREFS
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Adjacent sequences: A129007 A129008 A129009 this_sequence A129011 A129012 A129013
Sequence in context: A031203 A107221 A056085 this_sequence A133606 A038866 A043367
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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 27 2007
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