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Search: id:A009111
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| A009111 |
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List of ordered areas of Pythagorean triangles. |
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+0
7
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| 6, 24, 30, 54, 60, 84, 96, 120, 150, 180, 210, 210, 216, 240, 270, 294, 330, 336, 384, 480, 486, 504, 540, 546, 600, 630, 720, 726, 750, 756, 840, 840, 840, 864, 924, 960, 990, 1014, 1080, 1176, 1224, 1320, 1320, 1344, 1350, 1386, 1470, 1500, 1536, 1560, 1620
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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Andrew Granville, Solution to Problem 90:07, Western Number Theory Problems, 1991-12-19 & 22, ed. R. K. Guy.
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FORMULA
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Theorem: The number of pairs of integers a > b > 0 with ab(a^2-b^2) < n^2 is Cn + O(n^(2/3)) where C = (1/2)*Integral_{1..infinity} du/sqrt(u^3-u). [Granville] - N. J. A. Sloane (njas(AT)research.att.com), Feb 07 2008
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EXAMPLE
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6 is in the sequence because it is the area of the 3-4-5 triangle.
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CROSSREFS
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Cf. A009112, A024365.
Sequence in context: A110926 A131906 A046131 this_sequence A009112 A057101 A057228
Adjacent sequences: A009108 A009109 A009110 this_sequence A009112 A009113 A009114
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KEYWORD
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nonn
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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