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%I #19 Dec 17 2017 08:01:08
%S 7,111,930,5480,25500,99756,341088,1046520,2936070,7638950,18631932,
%T 42969336,94348300,198354300,401166000,783610920,1483311285,
%U 2728813725,4891144350,8560278000,14656684680,24591569640,40493836800,65527390800,104329399500,163608855372
%N Absolute value of coefficient of term [x^(n-7)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 7. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.
%F a(n) = ((13*n+7)/14!) * Product_{i=-6..6} (n+i).
%F G.f.: x^7*(7+6*x)/(1-x)^15. - _Colin Barker_, Mar 28 2012
%o (Octave, MATLAB) for n=7:20 a = zeros(n); for i=1:n for j=1:n a(i,j) = max(i,j); end end b = poly(a); b(8) end
%Y Cf. A000217, A000914, A001844, A112459, A112460, A112461, A112462, A112464.
%K easy,nonn
%O 7,1
%A _Paul Max Payton_, Sep 23 2005
%E Offset changed by _Alois P. Heinz_, Mar 28 2012
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