|
Search: id:A112460
|
|
|
| A112460 |
|
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. |
|
+0
6
|
|
| 4, 39, 207, 795, 2475, 6633, 15873, 34749, 70785, 135850, 247962, 433602, 730626, 1191870, 1889550, 2920566, 4412826
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
FORMULA
|
a(n) = n*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)*(n+6)*(7n+25)/8!; n >= 1
|
|
PROGRAM
|
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
|
|
CROSSREFS
|
Cf. A000217, A000914, A001844, A112459, A112461, A112462, A112463, A112464.
Sequence in context: A093850 A024212 A006408 this_sequence A059945 A093851 A063035
Adjacent sequences: A112457 A112458 A112459 this_sequence A112461 A112462 A112463
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul M. Payton (paul.payton(AT)lmco.com), Sep 23 2005
|
|
|
Search completed in 0.002 seconds
|
