Pea Pattern/Ascending/Examples/231

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Example of Ascending Pea Pattern

\(\ds \) \(\) \(\ds 231\)
\(\ds \) \(\leadsto\) \(\ds 111213\) one $1$, one $2$, one $3$
\(\ds \) \(\leadsto\) \(\ds 411213\) four $1$s, one $2$, one $3$
\(\ds \) \(\leadsto\) \(\ds 31121314\) three $1$s, one $2$, one $3$, one $4$
\(\ds \) \(\leadsto\) \(\ds 41122314\) four $1$s, one $2$, two $3$s, one $4$
\(\ds \) \(\leadsto\) \(\ds 31221324\) three $1$s, two $2$s, one $3$, two $4$s
\(\ds \) \(\leadsto\) \(\ds 21322314\) two $1$s, three $2$s, two $3$s, one $4$
\(\ds \) \(\leadsto\) \(\ds 21322314\) two $1$s, three $2$s, two $3$s, one $4$

and a fixed point has been reached.


Sources