Pea Pattern/Descending/Examples/231

Example of Descending Pea Pattern

\(\ds \)

\(\)

\(\ds 231\)

\(\ds \)

\(\leadsto\)

\(\ds 131211\)

one $3$, one $2$, one $1$

\(\ds \)

\(\leadsto\)

\(\ds 131241\)

one $3$, one $2$, four $1$s

\(\ds \)

\(\leadsto\)

\(\ds 14131231\)

one $4$, one $3$, one $2$, three $1$s

\(\ds \)

\(\leadsto\)

\(\ds 14231241\)

one $4$, two $3$s, one $2$, four $1$s

\(\ds \)

\(\leadsto\)

\(\ds 24132231\)

two $4$s, one $3$, two $2$s, three $1$s

\(\ds \)

\(\leadsto\)

\(\ds 14233221\)

one $4$, two $3$s, three $2$s, two $1$s

\(\ds \)

\(\leadsto\)

\(\ds 14233221\)

one $4$, two $3$s, three $2$s, two $1$s

and a fixed point has been reached.