A112462 Absolute value of coefficient of term [x^(n-6)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 6. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.

6, 83, 611, 3185, 13195, 46228, 142324, 395148, 1007760, 2393430, 5349526, 11345698, 22985326, 44722580, 83947700, 152591660, 269449830, 463484385, 778439025, 1279189275, 2060359665, 3257868120, 5064210840, 7748481000, 11682325200, 17373286476, 25507265868

Offset

6,1

Links

T. D. Noe and Bruno Berselli, Table of n, a(n) for n = 6..1005

Formula

a(n) = ((11n+6)/12!) * Product_{i=-5..5} (n+i).

G.f.: x^6*(6+5*x)/(1-x)^13. - Colin Barker, Mar 28 2012

Prog

(Octave, MATLAB) for n=6:20 a = zeros(n); for i=1:n for j=1:n a(i, j) = max(i, j); end end b = poly(a); b(7) end

Crossrefs

Cf. A000217, A000914, A001844, A112459, A112460, A112461, A112463, A112464.

Sequence in context: A188806 A155811 A239170 * A283198 A186661 A186659

Adjacent sequences: A112459 A112460 A112461 * A112463 A112464 A112465

Keyword

nonn,easy

Author

Paul Max Payton, Sep 23 2005

Extensions

Offset changed from 1 to 6, formulas and b-file adapted by Bruno Berselli, Mar 29 2012

Status

approved