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A086875 Sum of rank(M) over all n X n matrices over Z with all entries zero or one. 2

%I #9 Sep 08 2022 08:45:11

%S 1,21,1147,211965,143331811,366753209781

%N Sum of rank(M) over all n X n matrices over Z with all entries zero or one.

%C The unlikely-looking symbol "+:=" in the MAGMA code is in fact correct. - _N. J. A. Sloane_, Feb 02 2009

%F a(n) = Sum_{k=1..n} k * A064230(n,k). - _Alois P. Heinz_, Jun 18 2022

%o (Magma) for a in [1..5] do b := 0; for c in CartesianPower([0,1], a^2) do b +:= Rank(Matrix(a, a, [aa : aa in c])); end for; print b; end for;

%Y Cf. A064230.

%K hard,more,nonn

%O 1,2

%A Tom Womack (tom(AT)womack.net), Aug 21 2003

%E a(6) from _Alois P. Heinz_, Jun 18 2022

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Last modified May 28 01:06 EDT 2024. Contains 372900 sequences. (Running on oeis4.)