cp's OEIS Frontend

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.

%I A372350 #10 May 01 2024 07:19:16
%S A372350 1,14,308,20336,4994472,4610816280,15818644675576,200505135770997176,
%T A372350 9379920798740778171704,1622482035629868467818140728,
%U A372350 1041077717919612788079816321253944,2487586699047586213237480687525117894200
%N 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.
%C A372350 Row sums of A372230.
%D A372350 J. Oxley, Matroid Theory, Oxford Graduate Texts in Mathematics, 1992, page 8.
%t A372350 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]]*
%t A372350     Table[Product[2^n - 2^i, {i, 0, n - 1}]/(n + 1)!, {n, 2, nn}][[j]], {j, 1, nn - 1}] // Transpose]
%Y A372350 Cf. A372230.
%K A372350 nonn
%O A372350 2,2
%A A372350 _Geoffrey Critzer_, Apr 28 2024