Geodesic
An example of a positive semidefinite double sequence which is not a moment sequence
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 273-277.

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The first explicit example of a positive semidefinite double sequence which is not a moment sequence was given by Friedrich. We present an example with a simpler definition and more moderate growth as $(m, n) \rightarrow \infty $.
Classification : 43A35, 44A60
Keywords: double sequence; positive definite; moment sequence 
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     title = {An example of a positive semidefinite double sequence which is not a moment sequence},
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Bisgaard, Torben Maack. An example of a positive semidefinite double sequence which is not a moment sequence. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 273-277. http://geodesic.mathdoc.fr/item/CMJ_2004__54_2_a0/