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A157749
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Anti-diagonal of a Golay code related matrix: H = Transpose[m].IdentityMatrix[11]
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0
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1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Row sums are:
{1, 1, 1, 3, 3, 6, 4, 4, 6, 8, 8,...}.
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REFERENCES
| Pegg, Ed Jr.; Terr, David; and Weisstein, Eric W. "Golay Code." http://mathworld.wolfram.com/GolayCode.html
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FORMULA
| H = Transpose[m].IdentityMatrix[11];
t(n,m)=anti-diagonal(H).
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EXAMPLE
| {1},
{0, 1},
{0, 0, 1},
{1, 1, 0, 1},
{1, 0, 1, 0, 1},
{1, 1, 1, 1, 1, 1},
{0, 1, 0, 1, 0, 1, 1},
{0, 0, 1, 1, 0, 0, 1, 1},
{0, 1, 1, 0, 1, 1, 0, 1, 1},
{1, 1, 0, 1, 1, 0, 1, 1, 1, 1},
{1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0}
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MATHEMATICA
| m = {{1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1},
{1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1},
{1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0},
{1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0},
{1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0},
{1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1},
{1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0},
{1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0},
{1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1},
{1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1},
{0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}};
H = Transpose[m].IdentityMatrix[11];
b = Table[Table[H[[m, n - m + 1]], {m, n, 1, -1}], {n, 1, Length[H] - 1}];
Flatten[%]
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CROSSREFS
| Sequence in context: A098033 A135022 A071982 * A129407 A014165 A014141
Adjacent sequences: A157746 A157747 A157748 * A157750 A157751 A157752
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KEYWORD
| nonn,tabl,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 05 2009
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