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Search: id:A070095
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| A070095 |
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Number of acute integer triangles with perimeter n and prime side lengths. |
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+0
6
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| 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 3, 0, 2, 0, 2, 0, 2, 1, 3, 0, 3, 0, 2, 0, 2, 0, 3, 0, 2, 1, 2, 0, 2, 1, 3, 0, 1, 0, 3, 0, 3, 0, 2, 0, 3, 1, 4, 0, 3, 0, 3, 0, 1, 1, 3, 0, 3, 1, 4, 0
(list; graph; listen)
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OFFSET
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1,17
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COMMENT
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a(n) = A070088(n) - A070103(n).
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LINKS
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R. Zumkeller, Integer-sided triangles
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EXAMPLE
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For n=17 there are A005044(17)=8 integer triangles: [1,8,8], [2,7,8], [3,6,8], [3,7,7], [4,5,8], [4,6,7], [5,5,7] and [5,6,6]: the two consisting of primes ([3,7,7] and [5,5,7]) are also acute, therefore a(17)=2.
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CROSSREFS
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Cf. A070080, A070081, A070082, A070093, A070097, A070100, A070120.
Sequence in context: A112378 A035203 A070100 this_sequence A060951 A115525 A065717
Adjacent sequences: A070092 A070093 A070094 this_sequence A070096 A070097 A070098
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 05 2002
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