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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
(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+10)*(n+11)*(n+12)*(13n+85)/14!; n >= 1
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PROG
| 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
| Cf. A000217, A000914, A001844, A112459, A112460, A112461, A112462, A112464.
Sequence in context: A116875 A101924 A171193 * A009471 A193441 A061233
Adjacent sequences: A112460 A112461 A112462 * A112464 A112465 A112466
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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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