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A089478 Triangle T(n,k) read by rows, where T(n,k) = number of times the determinant of a real n X n (0,1)-matrix takes the value k, for n >= 0, 0 <= k <= A003432(n).

%I A089478 #25 Apr 29 2024 10:53:10
%S A089478 0,1,1,1,10,3,338,84,3,42976,10020,1200,60,21040112,4851360,1213920,
%T A089478 144720,43560,3600,39882864736,9240051240,3868663680,768723480,
%U A089478 418703040,63612360,46569600,6438600,5014800,529200,292604283435872
%N A089478 Triangle T(n,k) read by rows, where T(n,k) = number of times the determinant of a real n X n (0,1)-matrix takes the value k, for n >= 0, 0 <= k <= A003432(n).
%C A089478 The first 4 rows were provided by _Wouter Meeussen_.
%H A089478 Minfeng Wang, <a href="/A089478/b089478.txt">Table of n, a(n) for n = 0..118</a>
%e A089478 a(4) = T(2,1) = 3 because there are 3 different (0,1)-matrices with determinant=1:
%e A089478   ((1,0),(0,1)), ((1,1),(0,1)), ((1,0),(1,1)).
%e A089478 Triangle T(n,k) begins:
%e A089478          0,       1;
%e A089478          1,       1;
%e A089478         10,       3;
%e A089478        338,      84,       3;
%e A089478      42976,   10020,    1200,     60;
%e A089478   21040112, 4851360, 1213920, 144720, 43560, 3600;
%e A089478   ...
%o A089478 (Fortran)
%o A089478 c See link in A086264.
%Y A089478 Cf. T(n,0) = A046747(n), T(n,1) = A086264(n), T(n,A003432(n)) = A051752(n).
%Y A089478 The n-th row of the table contains A089472(n) nonzero entries.
%Y A089478 Cf. A089479.
%K A089478 nonn,hard,tabf
%O A089478 0,5
%A A089478 _Hugo Pfoertner_, Nov 04 2003
%E A089478 Edited by _Alois P. Heinz_, Dec 20 2023