A372350 Number of circuits in the linear matroid M[A] where A is the n X 2^n-1 matrix whose columns are the nonzero vectors in GF(2)^n.

1, 14, 308, 20336, 4994472, 4610816280, 15818644675576, 200505135770997176, 9379920798740778171704, 1622482035629868467818140728, 1041077717919612788079816321253944, 2487586699047586213237480687525117894200

Offset: 2

Author

Geoffrey Critzer, Apr 28 2024

Keywords

• nonn

Comments

Row sums of A372230.

References

• J. Oxley, Matroid Theory, Oxford Graduate Texts in Mathematics, 1992, page 8.

Crossrefs

Cf. A372230.

Programs

Mathematica

nn = 13; Map[Total,Table[Table[PadRight[Table[Product[(2^n - 2^i)/(2^k - 2^i), {i, 0, k - 1}], {k, 2,n}], nn], {n, 2, nn}][[All, j]]*
    Table[Product[2^n - 2^i, {i, 0, n - 1}]/(n + 1)!, {n, 2, nn}][[j]], {j, 1, nn - 1}] // Transpose]