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The sequence follows a pattern where each term is obtained by multiplying the previous term by an increasing integer and adding successive square numbers: 1×2+0²=2, 2×2+1²=5 (not 4), wait. The actual pattern appears to be: multiply by 2 and add squares in sequence 0, 1, 4, 9, 16... So: 1×2+0=2, 2×2+0=4, 4×3+1=13, 13×2+5=31, 31×3+19=112... The pattern gives 112×2+0=224.