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Search: id:A112464
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| A112464 |
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Absolute value of coefficient of term [x^(n-8)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 8. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n. |
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+0
6
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| 8, 143, 1343, 8823, 45543, 196707, 739347, 2483547, 7599867, 21492097, 56794705, 141485305, 334639305
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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a(n) = n*(n+1)*(n+2)* ... *(n+12)*(n+13)*(n+14)*(15n+113)/16!; n >= 1
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PROGRAM
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for n=8:20 a = zeros(n); for i=1:n for j=1:n a(i, j) = max(i, j); end end b = poly(a); b(9) end
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CROSSREFS
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Cf. A000217, A000914, A001844, A112459, A112460, A112461, A112462, A112463.
Adjacent sequences: A112461 A112462 A112463 this_sequence A112465 A112466 A112467
Sequence in context: A092703 A061996 A090931 this_sequence A065409 A061899 A134492
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KEYWORD
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easy,nonn
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AUTHOR
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Paul M. Payton (paul.payton(AT)lmco.com), Sep 23 2005
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