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Search: id:A095802
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| A095802 |
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Hexagonal pyramidal number triangle. |
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+0
1
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| 1, -2, 9, 3, -6, 25, -4, 15, -10, 49, 5, -12, 35, -14, 81, -6, 21, -20, 63, -18, 121, 7, -18, 45, -28, 99, -22, 169, -8, 27, -30, 77, -36, 143, -26, 225
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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For n rows, use matrices in each row from the series 1, -3, 5, -7...(filling in with zeros except for the n-th row). Let the matrix = M, then square and delete the zeros. For example, the 3 row generator would be [1 0 0 / 1 -3 0 / 1 -3 5] = M.
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EXAMPLE
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[1 0 0 / 1 -3 0 / 1 -3 5]^2 = [1 0 0 / -2 9 0 / 3 -6 25]; then delete the zeros to get 1; -2 9; 3 -6 25.
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CROSSREFS
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Row sums with signs as shown = A002412, Hexagonal pyramidal numbers: (1, 7, 22, 50, 95...).
Cf. A002412.
Adjacent sequences: A095799 A095800 A095801 this_sequence A095803 A095804 A095805
Sequence in context: A111689 A085093 A021777 this_sequence A087013 A074948 A011385
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KEYWORD
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sign,uned
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 07 2004
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