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Search: id:A108615
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| A108615 |
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3-column rectangular array of near-right acute triangles. |
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+0
2
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| 4, 7, 8, 8, 9, 12, 7, 11, 13, 6, 17, 18, 11, 13, 17, 10, 15, 18, 9, 19, 21, 14, 17, 22, 13, 19, 23, 17, 21, 27, 16, 23, 28, 8, 31, 32, 11, 29, 31, 15, 26, 30, 20, 25, 32, 14, 31, 34, 19, 27, 33, 17, 34, 38, 23, 29, 37, 22, 31, 38, 13, 41, 43, 16, 41, 44, 26, 33, 42, 25, 35, 43, 10
(list; table; graph; listen)
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OFFSET
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0,1
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FORMULA
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Row n is the n-th triple (a, b, c), in order of increasing perimeter a+b+c and increasing a, such that a < b < c and a^2 + b^2 - c^2 = 1.
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EXAMPLE
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First five triples:
4,7,8 (a + b + c = 19; 16 + 49 - 64 = 1)
8,9,12 (a + b + c = 29; 64 + 81 - 144 = 1)
7,11,13 (a + b + c = 31)
6,17,18 (a + b + c = 41)
11,13,17 (a + b + c = 41)
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CROSSREFS
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Cf. A108616.
Sequence in context: A115021 A121488 A115291 this_sequence A090383 A082390 A011517
Adjacent sequences: A108612 A108613 A108614 this_sequence A108616 A108617 A108618
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Jun 12 2005
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