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Search: id:A082793
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| A082793 |
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A tribonacci triangle in which the top two northeast and southeast diagonals consist of tribonacci numbers. |
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+0
2
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| 1, 1, 1, 2, 1, 2, 4, 2, 2, 4, 7, 4, 4, 4, 7, 13, 7, 8, 8, 7, 13, 24, 13, 14, 16, 14, 13, 24, 44, 24, 26, 28, 28, 26, 24, 44
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Uses a Hosoya-like format except that the latter has the Fibonacci recursion. This triangle uses the tribonacci recursion such that every interior number can be obtained by adding the 3 previous numbers, on its diagonal.
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REFERENCES
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Thomas Koshy, <"Fibonacci and Lucas Numbers with Applications">John Wiley and Sons, 2001, Chapter 15, pages 187-195, "Hosoya's Triangle".
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FORMULA
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T(n, j) = T(n-1, j) + T(n-2, j) + T(n-3, j); (every interior number can be obtained by adding the three previous numbers, on its diagonal.)
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EXAMPLE
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T(7,3) = 14 = (8 + 4 + 2) = T(6,3) + T(5,3) + T(4,3).
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CROSSREFS
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Cf. A000073, tribonacci numbers, A058071, Hosoya's triangle.
Sequence in context: A082693 A097082 A145173 this_sequence A114929 A152251 A144025
Adjacent sequences: A082790 A082791 A082792 this_sequence A082794 A082795 A082796
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), May 24 2003
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