A001294 Triangle in which k-th number (0<=k<=n) in n-th row (0<=n) is number of dodecads in Golay code G_24 containing k given points and missing n-k given points.

2576, 1288, 1288, 616, 672, 616, 280, 336, 336, 280, 120, 160, 176, 160, 120, 48, 72, 88, 88, 72, 48, 16, 32, 40, 48, 40, 32, 16, 0, 16, 16, 24, 24, 16, 16, 0, 0, 0, 16, 0, 24, 0, 16, 0, 0

Offset

0,1

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 278.

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 68.

Links

Table of n, a(n) for n=0..44.

J. H. Conway and N. J. A. Sloane, Orbit and coset analysis of the Golay and related codes, IEEE Trans. Inform. Theory, 36 (1990), 1038-1050.

Example

Triangle begins:
  2576;
  1288, 1288;
   616,  672,  616;
   280,  336,  336,  280;
   120,  160,  176,  160,   120;
  ...

Crossrefs

Sequence in context: A175016 A260104 A031789 * A109026 A217183 A034415

Adjacent sequences: A001291 A001292 A001293 * A001295 A001296 A001297

Keyword

nonn,tabl,fini,full,nice

Author

N. J. A. Sloane

Status

approved