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Number of nonequivalent 2-column nonnegative integer matrices with column sums n and any number of nonzero rows up to permutation of rows and columns.
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%I #12 Oct 12 2024 09:05:55

%S 1,2,7,21,66,192,565,1579,4348,11582,30205,76736,191120,465920,

%T 1115572,2623885,6074353,13849021,31137381,69082779,151390617,

%U 327897173,702426987,1489108503,3125821257,6500086120,13396645887,27376083598,55490121271,111604327066,222798559100

%N Number of nonequivalent 2-column nonnegative integer matrices with column sums n and any number of nonzero rows up to permutation of rows and columns.

%H Zarif Ahsan, Xiran Liu, and Noah Rosenberg, <a href="https://surim.stanford.edu/publications/combinatorics/dissimilarity-between-pair-draws-discrete-probability-vectors-finite">Dissimilarity between a pair of draws from discrete probability vectors on finite sets of objects</a>, Stanford Univ., 2023. See also <a href="https://arxiv.org/abs/2410.00221">arXiv:2410.00221</a>, [math.CO], 2024, p. 5.

%Y Column k=2 of A331485.

%K nonn

%O 0,2

%A _Andrew Howroyd_, Jan 31 2020