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A112460
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Absolute value of coefficient of term [x^(n-4)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 4. 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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4, 39, 207, 795, 2475, 6633, 15873, 34749, 70785, 135850, 247962, 433602, 730626, 1191870, 1889550, 2920566, 4412826
(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)*(n+5)*(n+6)*(7n+25)/8!; n >= 1
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PROG
| for n=4:20 a = zeros(n); for i=1:n for j=1:n a(i, j) = max(i, j); end end b = poly(a); b(5) end
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CROSSREFS
| Cf. A000217, A000914, A001844, A112459, A112461, A112462, A112463, A112464.
Sequence in context: A201740 A024212 A006408 * A059945 A198853 A093851
Adjacent sequences: A112457 A112458 A112459 * A112461 A112462 A112463
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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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