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A049610
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Sum( k*binomial(n,2*k), 0 <= k <= n/2) = floor[ n*2^(n-3) ]
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0
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0, 0, 1, 3, 8, 20, 48, 112, 256, 576, 1280, 2816, 6144, 13312, 28672, 61440, 131072, 278528, 589824, 1245184, 2621440, 5505024, 11534336, 24117248, 50331648, 104857600, 218103808, 452984832, 939524096, 1946157056, 4026531840
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