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A143088
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Symmetrical triangle sequence: t(n,m)=(2^(m + 1) - 1)*(2^(n - m + 1) - 1).
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1
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1, 3, 3, 7, 9, 7, 15, 21, 21, 15, 31, 45, 49, 45, 31, 63, 93, 105, 105, 93, 63, 127, 189, 217, 225, 217, 189, 127, 255, 381, 441, 465, 465, 441, 381, 255, 511, 765, 889, 945, 961, 945, 889, 765, 511, 1023, 1533, 1785, 1905, 1953, 1953, 1905, 1785, 1533, 1023, 2047
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Row sums are:{1, 6, 23, 72, 201, 522, 1291, 3084, 7181, 16398, 36879}.
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FORMULA
| t(n,m)=(2^(m + 1) - 1)*(2^(n - m + 1) - 1).
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EXAMPLE
| {1},
{3, 3},
{7, 9, 7},
{15, 21, 21, 15},
{31, 45, 49, 45, 31},
{63, 93, 105, 105, 93, 63},
{127, 189, 217, 225, 217, 189, 127},
{255, 381, 441, 465, 465, 441, 381, 255},
{511, 765, 889, 945, 961, 945, 889, 765, 511},
{1023, 1533, 1785, 1905, 1953, 1953, 1905, 1785, 1533, 1023},
{2047, 3069, 3577, 3825, 3937, 3969, 3937, 3825, 3577, 3069, 2047}
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MATHEMATICA
| Table[Table[(2^(m + 1) - 1)*(2^(n - m + 1) - 1), {m, 0, n}], {n, 0, 10}]; Flatten[%]
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CROSSREFS
| Sequence in context: A056357 A144554 A177936 * A131036 A034411 A066983
Adjacent sequences: A143085 A143086 A143087 * A143089 A143090 A143091
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 16 2008
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