A091327 Triangle T(n,k) read by rows giving number of inequivalent even binary linear [n,k] codes containing no zero columns (n >= 2, 1 <= k <= n-1).

1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 3, 2, 1, 0, 2, 4, 4, 2, 1, 1, 3, 8, 10, 7, 3, 1, 0, 3, 9, 18, 16, 9, 3, 1

Offset

2,12

Comments

"Even" means that every word has even weight. Equivalently, the all-ones vector is in the dual code.

Difference between successive rows of A091325.

Links

Table of n, a(n) for n=2..37.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

Index entries for sequences related to binary linear codes

Example

Triangle begins
1
0 1
1 1 1
0 1 1 1
1 2 3 2 1
0 2 4 4 2 1

Crossrefs

Cf. A091325. Row sums give A091328.

Sequence in context: A081134 A017848 A108619 * A327758 A110540 A346399

Adjacent sequences: A091324 A091325 A091326 * A091328 A091329 A091330

Keyword

nonn,tabl,more

Author

N. J. A. Sloane, Mar 01 2004

Status

approved