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
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $10,213,223$