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%I #10 Oct 17 2023 14:41:58
%S 1,1,1,1,5,2,1,19,24,5,1,69,202,112,14,1,251,1520,1665,510,42,1,923,
%T 11000,21121,11827,2277,132,1,3431,78806,249137,226205,76111,10010,
%U 429,1,12869,566234,2840928,3918842,2044444,456456,43472,1430
%N Triangle read by rows giving numbers T(n,j) (n >= 0, 1 <= j <= n+1) of certain restricted partitions of 2n into j blocks.
%C See Vargas (2017) for a more precise definition.
%H Jorge Garza Vargas, <a href="https://arxiv.org/abs/1709.01498">The traffic distribution of the squared unimodular random matrix and a formula for the moments of its ESD</a>, arXiv:1709.01498 [math.PR], 2017. See Table 1.
%F The authors report that they were unable to find a general formula.
%e Triangle begins:
%e 1;
%e 1, 1;
%e 1, 5, 2;
%e 1, 19, 24, 5;
%e 1, 69, 202, 112, 14;
%e 1, 251, 1520, 1665, 510, 42;
%e 1, 923, 11000, 21121, 11827, 2277, 132;
%e ...
%Y Main diagonal gives A000108.
%Y Columns j=1-2 give: A000012, A030662.
%K nonn,tabl
%O 0,5
%A _Michael De Vlieger_ and _N. J. A. Sloane_, Feb 23 2018
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