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Search: id:A112461
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| A112461 |
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Absolute value of coefficient of term [x^(n-5)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 5. 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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| 5, 59, 374, 1694, 6149, 19019, 52052, 129272, 296582, 636922, 1293292, 2502604, 4644094, 8306914, 14382544, 24188824
(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+3)*(n+4)*(n+5)*(n+6)*(n+7)*(n+8)*(9n+41)/10!; n >= 1
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PROGRAM
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for n=5:20 a = zeros(n); for i=1:n for j=1:n a(i, j) = max(i, j); end end b = poly(a); b(6) end
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CROSSREFS
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Cf. A000217, A000914, A001844, A112459, A112460, A112462, A112463, A112464.
Adjacent sequences: A112458 A112459 A112460 this_sequence A112462 A112463 A112464
Sequence in context: A141951 A049079 A024378 this_sequence A106105 A036947 A099151
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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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