gradient of gradient and laplacian of one-dimensional vector

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I have a 1-dimensional vector which is:
p = [1 3 6 10 16 18 29];
laplace = del2(p);
px= gradient(p);
pxx=gradient(px);
Since it is one-dimensional, laplacian of the vector must be equal to gradient of gradient. However they give completely different results.
laplace = 0.2500 0.2500 0.2500 0.5000 -1.0000 2.2500 5.5000
pxx = 0.5000 0.7500 1.2500 0.2500 0.7500 3.5000 4.5000

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