login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A157749 Antidiagonal of a Golay code related matrix: H = Transpose[m].IdentityMatrix[11] 0
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; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..65.

FORMULA

H = Transpose[m].IdentityMatrix[11];

t(n,m)=antidiagonal(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: A266754 A071982 A266588 * A129407 A267594 A273512

Adjacent sequences:  A157746 A157747 A157748 * A157750 A157751 A157752

KEYWORD

nonn,tabl,uned

AUTHOR

Roger L. Bagula, Mar 05 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 26 06:16 EDT 2021. Contains 347664 sequences. (Running on oeis4.)