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Search: id:A055522
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| A055522 |
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Largest area of a Pythagorean triangle with n as length of one of the three sides (in fact as a leg). |
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+0
9
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| 6, 6, 30, 24, 84, 60, 180, 120, 330, 210, 546, 336, 840, 504, 1224, 720, 1710, 990, 2310, 1320, 3036, 1716, 3900, 2184, 4914, 2730, 6090, 3360, 7440, 4080, 8976, 4896, 10710, 5814, 12654, 6840, 14820, 7980, 17220, 9240, 19866, 10626, 22770, 12144, 25944
(list; graph; listen)
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OFFSET
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3,1
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LINKS
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Eric Weisstein's World of Mathematics, Truncatable Prime.
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FORMULA
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a(n)=n*A055523(n)/2. a(2k)=k*(k+1)*(k-1), a(2k+1)=k*(k+1)*(2k+1).
O.g.f.: 6x^3*(x+1+x^2)/((1-x)^4*(1+x)^4). a(2k+1)=A055112(k). a(2k)=A007531(k+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 06 2008]
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MAPLE
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seq(piecewise(n mod 2 = 0, n*(n^2-4)/8, n*(n^2-1)/4), n=3..60); (C. Ronaldo)
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CROSSREFS
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Cf. A009112, A046079, A046080, A046081, A054435, A054436, A055523, A055524, A055525, A055526, A055527.
Sequence in context: A016725 A066714 A054436 this_sequence A078637 A071021 A074002
Adjacent sequences: A055519 A055520 A055521 this_sequence A055523 A055524 A055525
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KEYWORD
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nonn,new
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), May 22 2000
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