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Search: id:A070150
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| A070150 |
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Triangular areas of integer Heronian triangles. |
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+0
1
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| 6, 36, 66, 120, 36, 120, 120, 210, 210, 120, 300, 210, 210, 300, 378, 630, 528, 780, 528, 210, 630, 630, 300, 1176, 780, 2016, 990, 1176, 2016, 2016, 1596, 780, 1770, 528, 300, 2850, 630, 2016, 780, 990, 3240, 2016, 630
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n) = A070086(A070148(n)).
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LINKS
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R. Zumkeller, Integer-sided triangles
Eric Weisstein's World of Mathematics, Heronian Triangle.
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EXAMPLE
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A070148(2)=368: [A070080(368), A070081(368), A070082(368)] = [9,10,17], area^2 = s*(s-9)*(s-10)*(s-17) with s=A070083(368)/2=(9+10+17)/2=18, area^2=18*9*8*1=16*81 is an integer square, therefore area=4*9=36=A000217(8).
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CROSSREFS
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Sequence in context: A134639 A069497 A139249 this_sequence A161144 A119845 A043116
Adjacent sequences: A070147 A070148 A070149 this_sequence A070151 A070152 A070153
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KEYWORD
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nonn,nice
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 05 2002
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