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Search: id:A154924
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| A154924 |
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Area of prime triangles. |
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+0
1
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| 3, 6, 0, 0, 12, 6, 16, 18, 16, 6, 32, 6, 36, 8, 28, 16, 2, 26, 10, 6, 10, 54, 6, 18, 0, 36, 0, 132, 18, 68, 12, 40, 24, 12, 20, 22, 20, 12, 24, 48, 0, 66, 30, 120, 150, 24, 62, 6, 4, 32, 48, 24, 8, 0, 28, 16, 18, 84, 90, 180, 18, 144, 6, 132, 52, 36, 44, 54, 28, 38, 14
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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Take six consecutive primes and group them in ordered pairs (p1,p2) (p3,p4) (p5,p6) and compute the area of the triangle they form in the Cartesian plane.
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EXAMPLE
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a(1)=3 because the triangle with vertices (2,3)(5,7)(11,13) has an area of 3. a(2)=6 because the triangle with vertices (3,5)(7,11)(13,17) has an area of 6. a(3)=0 because the vertices (5,7)(11,13)(17,19) are colinear and do not form a triangle.
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CROSSREFS
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Sequence in context: A126334 A068635 A156695 this_sequence A071105 A104613 A113565
Adjacent sequences: A154921 A154922 A154923 this_sequence A154925 A154926 A154927
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KEYWORD
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easy,nonn
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AUTHOR
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Gil Broussard (gilbroussard(AT)bellsouth.net), Jan 17 2009
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