Crystal bases as tuples of integer sequences

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We describe a set R∞ consisting of tuples of integer sequences and provide certain explicit maps on it. We show that this defines a semiregular crystal for slₙ₊₁ and sp₂ₙ respectively. Furthermore we define for any dominant integral weight λ a connected subcrystal R(λ) in R∞, such that this crystal is isomorphic to the crystal graph B(λ). Finally we provide an explicit description of these connected crystals R(λ).