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Search: id:A143182
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| A143182 |
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Center inverted symmetrical triangle sequence: t(n,m)=1 + Abs[(1 + n - m) - (1 + m)]. |
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+0 1
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| 1, 2, 2, 3, 1, 3, 4, 2, 2, 4, 5, 3, 1, 3, 5, 6, 4, 2, 2, 4, 6, 7, 5, 3, 1, 3, 5, 7, 8, 6, 4, 2, 2, 4, 6, 8, 9, 7, 5, 3, 1, 3, 5, 7, 9, 10, 8, 6, 4, 2, 2, 4, 6, 8, 10, 11, 9, 7, 5, 3, 1, 3, 5, 7, 9, 11
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums are:
{2, 4, 8, 12, 18, 24, 32, 40, 50, 60}.
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FORMULA
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t(n,m)=1 + Abs[(1 + n - m) - (1 + m)].
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EXAMPLE
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{1},
{2, 2},
{3, 1, 3},
{4, 2, 2, 4},
{5, 3, 1, 3, 5},
{6, 4, 2, 2, 4, 6},
{7, 5, 3, 1, 3, 5, 7},
{8, 6, 4, 2, 2, 4, 6, 8},
{9, 7, 5, 3, 1, 3, 5, 7, 9},
{10, 8, 6, 4, 2, 2, 4, 6, 8, 10},
{11, 9, 7, 5, 3, 1, 3, 5, 7, 9, 11}
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MATHEMATICA
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Clear[t, n, m]; t[n_, m_] = 1 + Abs[(1 + n - m) - (1 + m)]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]
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CROSSREFS
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Adjacent sequences: A143179 A143180 A143181 this_sequence A143183 A143184 A143185
Sequence in context: A135621 A077268 A131821 this_sequence A128715 A113881 A072030
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 17 2008
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