|
Search: id:A157749
|
|
|
| A157749 |
|
Anti-diagonal of a Golay code related matrix: H = Transpose[m].IdentityMatrix[11] |
|
+0
1
|
|
| 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; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Row sums are:
{1, 1, 1, 3, 3, 6, 4, 4, 6, 8, 8,...}.
|
|
REFERENCES
|
Pegg, Ed Jr.; Terr, David; and Weisstein, Eric W. "Golay Code." http://mathworld.wolfram.com/GolayCode.html
|
|
FORMULA
|
H = Transpose[m].IdentityMatrix[11];
t(n,m)=anti-diagonal(H).
|
|
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}
|
|
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[%]
|
|
CROSSREFS
|
Sequence in context: A098033 A135022 A071982 this_sequence A129407 A014165 A014141
Adjacent sequences: A157746 A157747 A157748 this_sequence A157750 A157751 A157752
|
|
KEYWORD
|
nonn,tabl,uned
|
|
AUTHOR
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 05 2009
|
|
|
Search completed in 0.002 seconds
|
