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%I #3 Mar 30 2012 17:34:26
%S 1,-1,1,1,-6,1,-1,23,-23,1,1,-76,230,-76,1,-1,237,-1682,1682,-237,1,1,
%T -722,10543,-23548,10543,-722,1,-1,2179,-60657,259723,-259723,60657,
%U -2179,1,1,-6552,331612,-2485288,4675014,-2485288,331612,-6552,1,-1
%N A signed version of A060187 obtained by taking the Z-transform of p(t,x)=Exp[t*(1+2*x)].
%e {1},
%e {-1, 1},
%e {1, -6, 1},
%e {-1, 23, -23, 1},
%e {1, -76, 230, -76, 1},
%e {-1, 237, -1682, 1682, -237, 1},
%e {1, -722, 10543, -23548, 10543, -722, 1},
%e {-1, 2179, -60657, 259723, -259723, 60657, -2179, 1},
%e {1, -6552, 331612, -2485288, 4675014, -2485288, 331612, -6552, 1},
%e {-1, 19673, -1756340, 21707972, -69413294, 69413294, -21707972, 1756340, -19673, 1},
%e {1, -59038, 9116141, -178300904, 906923282, -1527092468, 906923282, -178300904, 9116141, -59038, 1}
%t p[t_] = Exp[t]*x/(Exp[2*t] + x);
%t a = Table[ CoefficientList[FullSimplify[ExpandAll[(n!*( 1 + x)^(n + 1)/x)*SeriesCoefficient[ Series[p[ t], {t, 0, 30}], n]]], x], {n, 0, 10}];
%t Flatten[a]
%K sign,tabl
%O 0,5
%A _Roger L. Bagula_, Nov 26 2009
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