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Table[n! Sum[1/((i+1)!(j+1)!(n-i-j+1)!(2i+1)(2j+1)(2(n-i-j)+1)), {i, 0, n}, {j, 0, n-i}], {n, 0, 10}]//Numerator (* conjecture; Jérôme Houdayer, Nov 23 2016 *)
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reviewed
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a(10) - a(10020) from Robert G. Wilson v, Nov 06 2013
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approved
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