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A112459
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Absolute value of coefficient of term [x^(n-3)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 3. 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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3, 23, 98, 308, 798, 1806, 3696, 6996, 12441, 21021, 34034, 53144, 80444, 118524, 170544, 240312, 332367, 452067
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| a(n) = n*(n+1)*(n+2)*(n+3)*(n+4)*(5n+13)/6!; n >= 1
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PROG
| for n=3:20 a = zeros(n); for i=1:n for j=1:n a(i, j) = max(i, j); end end b = poly(a); b(4) end
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CROSSREFS
| Cf. A000217, A000914, A001844, A112460, A112461, A112462, A112463, A112464.
Sequence in context: A024196 A196339 A196318 * A197303 A039506 A196970
Adjacent sequences: A112456 A112457 A112458 * A112460 A112461 A112462
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KEYWORD
| easy,nonn
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AUTHOR
| Paul M. Payton (paul.payton(AT)lmco.com), Sep 23 2005
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