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A258392
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Number of 2n-length strings of balanced parentheses of exactly 4 different types that are introduced in ascending order.
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2
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14, 420, 8580, 150150, 2432430, 37777740, 572827580, 8568059500, 127199546012, 1881416537000, 27792098497800, 410634370077750, 6074408847920670, 90017212151219100, 1336818529866319500, 19898794932394570500, 296909055625560798420, 4440849374395184751000
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