A112464 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.

8, 143, 1343, 8823, 45543, 196707, 739347, 2483547, 7599867, 21492097, 56794705, 141485305, 334639305, 755863605, 1638428805, 3422280285, 6912424485, 13541987610, 25799313210, 47907161610, 86882479530, 154161302130, 268050218130, 457369908930, 766795640130

Offset

8,1

Links

Vincenzo Librandi and Bruno Berselli, Table of n, a(n) for n = 8..10008

Formula

a(n) = ((15n+8)/16!) * Product_{i=-7..7} (n+i).

G.f.: x^8*(8+7*x)/(1-x)^17. - Harvey P. Dale, Jul 24 2011

Mathematica

Table[(Times@@(n+Range[0, 14])(15n+113))/16!, {n, 30}] (* or *) CoefficientList[ Series[ (-8-7 x)/(-1+x)^17, {x, 0, 30}], x] (* Harvey P. Dale, Jul 24 2011 *)

Prog

(Octave, MATLAB) 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

Crossrefs

Cf. A000217, A000914, A001844, A112459, A112460, A112461, A112462, A112463.

Sequence in context: A373874 A317112 A320396 * A227875 A235383 A275034

Adjacent sequences: A112461 A112462 A112463 * A112465 A112466 A112467

Keyword

easy,nonn

Author

Paul Max Payton, Sep 23 2005

Extensions

More terms from Harvey P. Dale, Jul 24 2011

Offset changed from 0 to 8, formulas and b-file adapted by Bruno Berselli, Mar 29 2012

Status

approved