Pea Pattern/Descending/Examples/111

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Example of Descending Pea Pattern

\(\ds \) \(\) \(\ds 111\)
\(\ds \) \(\leadsto\) \(\ds 31\) three $1$s
\(\ds \) \(\leadsto\) \(\ds 1311\) one $3$, one $1$
\(\ds \) \(\leadsto\) \(\ds 1331\) one $3$, three $1$s
\(\ds \) \(\leadsto\) \(\ds 2321\) two $3$s, two $1$s
\(\ds \) \(\leadsto\) \(\ds 132211\) one $3$, two $2$s, one $1$
\(\ds \) \(\leadsto\) \(\ds 132231\) one $3$, two $2$s, three $1$s
\(\ds \) \(\leadsto\) \(\ds 232221\) two $3$s, two $2$s, two $1$s
\(\ds \) \(\leadsto\) \(\ds 134211\) one $3$, four $2$s, one $1$
\(\ds \) \(\leadsto\) \(\ds 14131231\) one $4$, one $3$, one $2$, three $1$s
\(\ds \) \(\leadsto\) \(\ds 14331241\) one $4$, two $3$, one $2$, four $1$s
\(\ds \) \(\leadsto\) \(\ds 24231231\) two $4$s, two $3$, one $2$, three $1$s
\(\ds \) \(\leadsto\) \(\ds 14233221\) one $4$, two $3$, three $2$, two $1$s
\(\ds \) \(\leadsto\) \(\ds 14233221\) one $4$, two $3$, three $2$, two $1$s

and a fixed point has been reached.