$n=5$:

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• $S_4 = 4 + 2 + 1 = 7$
• $T_4 = S_3 = 4$
• $U_4 = T_3 = 2$
• $S_5 = 7 + 4 + 2 = 13$
• $T_5 = S_4 = 7$
• $U_5 = T_4 = 4$

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