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Home » Unlock the Ultimate Retro Gaming Experience with This GameCube Emulator! - Abbey Badges

Unlock the Ultimate Retro Gaming Experience with This GameCube Emulator! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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S(n, k) = k \cdot S(n-1, k) + S(n-1, k-1),
with base cases $ S(n, 0) = 0 $ for $ n > 0 $, $ S(0, 0) = 1 $, and $...
Using known values or computing step-by-step:
$ S(1,1) = 1 $
$ S(2,1) = 1 $, $ S(2,2) = 1 $
$ S(3,1) = 1 $, $ S(3,2) = 3 $, $ S(3,3) = 1 $
$ S(4,3) = 6 $
$ S(5,3) = 25 $
$ S(6,3) = 90 $
$ S(7,3) = 3 \cdot S(6,3) + S(6,2) $

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