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Generate Newton-Girald formula?

Posted 2 months ago
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n = 2

I am not getting the determinant of the NW. Can somebody suggest what is wrong?

S[1] = Table[i*e[i], {i, 1, n}]
S[2] = {1, Table[e[i], {i, 1, n - 1}]}
S[3] = {0, 1, Table[e[i], {i, 1, n - 2}]}
For[i = 4; t = x, i < n + 1, i++, 
S[i] = {ConstantArray[0, i - 2], ConstantArray[1, 1], 
Table[e[j], {j, 1, n - i + 1}]}; Print[S[i]]]
EQ1 = Table[S[j], {j, 1, n}]
NW = MatrixForm[EQ1]
NW1 = Det[Transpose[NW]]
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