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A066326
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a(1) = 5; for n>1 a(n) is the smallest number such that a(n)<>a(x) for any x<n and for every a(n) there exist a(m) so that (a(m),a(n),sqrt(a(n)^2+a(m)^2)) is a Pythagorean triple.
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0
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5, 12, 9, 16, 30, 35, 40, 42, 56, 33, 44, 63, 60, 11, 25, 32, 24, 7, 10, 18, 45, 28, 21, 20, 15, 8, 6, 36, 27, 48, 14, 55, 64, 70, 72, 54, 65, 75, 77, 80, 39, 52, 84, 13, 90, 91, 96, 99, 100, 105, 88, 66, 108, 81, 110, 112, 117, 120, 22, 50, 119, 126, 128, 132, 85, 135, 140
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| For a(1) = 0,1,2 no possible value of a(2) exists; for a(1) = 3,4 we get 4, 3 for a(2) but no further possible values. For a(1) >= 5 do we always get an infinite sequence?
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EXAMPLE
| a(5) = 30 because a(5)^2 + a(4)^2 = 30^2 + 16^2 = 34^2; a(6) = 35 because a(6)^2 + a(2)^2 = 35^2 + 12^2 = 37^2
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CROSSREFS
| Sequence in context: A009842 A169729 A070368 * A015242 A009415 A195031
Adjacent sequences: A066323 A066324 A066325 * A066327 A066328 A066329
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KEYWORD
| nonn
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AUTHOR
| Jonathan Ayres (jonathan.ayres(AT)ntlworld.com), Dec 15 2001
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