A250003 Number of inequivalent binary linear codes of length n minus 2^n.

0, 0, 0, 0, 0, 0, 4, 20, 86, 336, 1273, 4880, 19938, 90662, 486753, 3285964, 29643278, 373908194, 6739368109, 173801125420, 6356254132640, 326203515419552, 23294352975946580, 2301176047756537128, 313285408199163993419, 58638266023262469408284

Offset

0,7

Comments

The numbers of inequivalent binary linear codes of length n (A076766) start like the powers of two (A000079). This sequence is their difference. These are the row sums of the triangle A250002.

Links

Table of n, a(n) for n=0..25.

Formula

a(n) = A076766(n) - A000079(n).

Example

There are 342 inequivalent binary linear codes of length 8, and 2^8 = 256, hence a(8) = 342 - 256 = 86.

Crossrefs

Cf. A076766, A000079, A250002.

Sequence in context: A158608 A282084 A262768 * A343361 A320935 A320936

Adjacent sequences: A250000 A250001 A250002 * A250004 A250005 A250006

Keyword

nonn

Author

Tilman Piesk, Nov 10 2014

Status

approved