Look-and-say: each term describes the previous. 1→11→21→1211→111221→312211→13112221... Length multiplies by Conway's constant λ≈1.303577 each step. Contains only digits 1,2,3. Conway proved it has a deep connection to 92 'chemical elements'.
How to Use
Enter starting value:
- Sequence: Generated terms
- Length: Growth pattern
- Ratio: Approaches λ
Conway's Constant
λ ≈ 1.303577... is the unique positive real root of a degree-71 polynomial. The length of the n-th term grows as λⁿ. Conway proved this by decomposing sequences into 92 'atoms' (elements named after periodic table elements).
Properties
- Only digits 1,2,3 appear (starting from any digit 1-9)
- No run longer than 3 (starting from 1)
- Terms grow by factor λ≈1.3036
- 'Cosmological theorem': all sequences eventually decompose into a common set of strings
Step-by-Step Instructions
- 1Enter seed.
- 2Generate terms.
- 3View lengths.
- 4Compare to λ.
- 5Try other seeds.