A076893 Number of inequivalent linear ternary codes of length n with no zero columns. Also the number of nonisomorphic loopless ternary matroids on an n-set.

1, 2, 4, 9, 19, 49, 131, 424, 1652, 8719, 69825, 989873, 26581301, 1318262256, 114250250466, 16765968053831, 4100014001380089, 1664142340751871950, 1116818491052884840894, 1241182654624957299191014, 2281173954695869520832771726, 6954114729274902830973149757397, 35138195971007372542783032580880899

Offset: 1

Author

Marcel Wild (mwild(AT)sun.ac.za), Nov 26 2002

Keywords

• nonn
• changed

References

• M. Wild, Enumeration of binary and ternary matroids and other applications of the Brylawski-Lucas Theorem, Preprint 1693, Technische Hochschule Darmstadt, 1994.

Links

• A. Evnin, An elementary Introduction to Matroids, Mathematical Education 2 (33) (2005), 2-33.
• Harald Fripertinger, T_nk3: Number of the isometry classes of all ternary (n,r)-codes for 1 <= r <= k without zero-columns, 2016.

Crossrefs

Cf. A034343.

Extensions

a(11)-a(23) from Fripertinger's table added by Andrei Zabolotskii, Aug 26 2025