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A143086
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Symmetrical triangle sequence: t(n,m)=If[m < = ( less than or equal) Floor[n/2], 2^(m + 1) - 1, 2^(n - m + 1) - 1].
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0
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1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 7, 3, 1, 1, 3, 7, 7, 3, 1, 1, 3, 7, 15, 7, 3, 1, 1, 3, 7, 15, 15, 7, 3, 1, 1, 3, 7, 15, 31, 15, 7, 3, 1, 1, 3, 7, 15, 31, 31, 15, 7, 3, 1, 1, 3, 7, 15, 31, 63, 31, 15, 7, 3, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| Row sums are:A077866;
{1, 2, 5, 8, 15, 22, 37, 52, 83, 114, 177}.
The numbers are Mersenne like odd numbers.
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FORMULA
| t(n,m)=If[m < = ( less than or equal) Floor[n/2], 2^(m + 1) - 1, 2^(n - m + 1) - 1].
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EXAMPLE
| {1},
{1, 1},
{1, 3, 1},
{1, 3, 3, 1},
{1, 3, 7, 3, 1},
{1, 3, 7, 7, 3, 1},
{1, 3, 7, 15, 7, 3, 1},
{1, 3, 7, 15, 15, 7, 3, 1},
{1, 3, 7, 15, 31, 15, 7, 3, 1},
{1, 3, 7, 15, 31, 31, 15, 7, 3, 1},
{1, 3, 7, 15, 31, 63, 31, 15, 7, 3, 1}
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MATHEMATICA
| Table[Table[If[m < = Floor[n/2], 2^(m + 1) - 1, 2^(n - m + 1) - 1], {m, 0, n}], {n, 0, 10}]; Flatten'%]
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CROSSREFS
| Cf. A077866.
Sequence in context: A123191 A157454 A106255 * A152714 A174546 A134444
Adjacent sequences: A143083 A143084 A143085 * A143087 A143088 A143089
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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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