A059831 - OEIS

%I #5 Mar 31 2012 13:20:44

%S 0,-2,-4,-20,-252,-5610,-187944,-8760272,-540315160,-42535905530,

%T -4158250120140,-493938370048692,-70043599065844404,

%U -11684931733886455730,-2264985487707963662992,-504752888883221450120000,-128137017404994234514023024

%N Determinant of Wilkinson's eigenvalue test matrix of order 2n+1.

%D P. Jansen and P. Weidner, High-accuracy arithmetic software - some tests of the ACRITH problem-solving routines, ACM Trans. Math. Software, 12 (1986), 62-70.

%D MathWorks, MATLAB Reference Guide, 1996.

%e The matrix of order 5:

%e 2 1 0 0 0

%e 1 1 1 0 0

%e 0 1 0 1 0

%e 0 0 1 1 1

%e 0 0 0 1 2

%p with(LinearAlgebra): unprotect(D):

%p for n from 1 to 7 do N:=2*n+1; D:=Matrix(N, N, 0 );

%p for i from 1 to N-1 do D[i,i+1]:=1; D[i+1,i]:=1; od: for i from 1 to N do D[i,i]:=abs(n-i+1); od: lprint(Determinant(D)); od:

%o (MATLAB) for i = 0:7 a(i) = det(wilkinson(2*i+1)); end; a

%Y Cf. A059834.

%K sign

%O 0,2

%A _N. J. A. Sloane_, Feb 25 2001

%E More terms from _David Wasserman_, May 24 2002