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A095107
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Sum of maximal Dyck path prefix lengths of all 4k+3 primes in range ]2^n,2^(n+1)].
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4
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2, 6, 10, 54, 106, 346, 1410, 3994, 12828, 46242, 158252, 542568, 1865796, 6822592, 25120772, 88926198, 327561126, 1212380122, 4358259840, 16111686770, 59936356888
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