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Ternary Champernowne Constant


The ternary Champernowne constant is defined by concatenating the ternary representations of the positive integers as fractional digits

C_3=0.(1)(2)(1,0)(1,1)(1,2)(2,0)..._3
(1)
=0.598958167538433....
(2)

(OEIS A054635 and A077771). Sequence OEIS A054635 includes an initial 0 before the fractional digits. The continued fraction begins [0, 1, 1, 2, 37, 1, 162, 1, 1, 1, 3, 1, 7, 1, 9, 2, 3, 1, 3068518062211324, 2, 1, ...] (OEIS A077772), which, like that of the Champernowne constant in base 10, has sporadic large terms.


See also

Binary Champernowne Constant, Champernowne Constant, Ternary

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References

Sloane, N. J. A. Sequences A054635, A077771, and A077772 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Ternary Champernowne Constant

Cite this as:

Weisstein, Eric W. "Ternary Champernowne Constant." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TernaryChampernowneConstant.html

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