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Home » Shocked the Internet! The Updated Sydney Sweeney GIF You Need to See Now! - Moon Smoking

Shocked the Internet! The Updated Sydney Sweeney GIF You Need to See Now! - Moon Smoking

📅 May 17, 2026 👤 scraface

May 17, 2026

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$S_n = S_{n-1} + T_{n-1} + U_{n-1}$ (append 3 to any valid string)
$T_n = S_{n-1}$ (append 2 to a string ending in 3)
$U_n = T_{n-1}$ (append 2 to a string ending in exactly one 2)
Initial conditions ($n=1$):
$S_1 = 1$ (string: 3)
$T_1 = 1$ (2)
$U_1 = 0$ (can’t have two 2s)
Now compute step by step:
$n=2$:
$S_2 = S_1 + T_1 + U_1 = 1 + 1 + 0 = 2$

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