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%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