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A112463
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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.
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5
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7, 111, 930, 5480, 25500, 99756, 341088, 1046520, 2936070, 7638950, 18631932, 42969336, 94348300, 198354300, 401166000, 783610920, 1483311285, 2728813725, 4891144350, 8560278000, 14656684680, 24591569640, 40493836800, 65527390800, 104329399500, 163608855372
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OFFSET
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7,1
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LINKS
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FORMULA
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a(n) = ((13*n+7)/14!) * Product_{i=-6..6} (n+i).
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PROG
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(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
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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