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A258393
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Number of 2n-length strings of balanced parentheses of exactly 5 different types that are introduced in ascending order.
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2
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42, 1980, 60060, 1501500, 33795762, 714249900, 14504269780, 286931752800, 5578065392900, 107178276605400, 2043352620527400, 38758743724018500, 732849800716048290, 13831507110589591500, 260829110106412824900, 4917878997439418010000, 92758042341429880435020
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