Question: why ToeplitzMatrix is not the same as defined in wiki

http://www.maplesoft.com/support/help/Maple/view.aspx?path=LinearAlgebra/ToeplitzMatrix
http://en.wikipedia.org/wiki/Toeplitz_matrix

in wiki it started from 1 at [1,1] if using below

however maple package started from 5

restart;

x := 1;

y := 3;

input := [1, 2, 3, 4, 5, 6, 7, 8, 9];
with(LinearAlgebra):

T1 := ToeplitzMatrix(input, 3);

T1 := Transpose(result);

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