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Hereditary Representation

The representation of a number as a sum of powers of a base b, followed by expression of each of the exponents as a sum of powers of b, etc., until the process stops. For example, the hereditary representation of 266 in base 2 is

266=2^8+2^3+2
(1)
=2^(2^(2+1))+2^(2+1)+2.
(2)

See also

Goodstein Sequence, Goodstein's Theorem

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References

Henle, J. M. An Outline of Set Theory. New York: Springer-Verlag, 1986.

Referenced on Wolfram|Alpha

Hereditary Representation

Cite this as:

Weisstein, Eric W. "Hereditary Representation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HereditaryRepresentation.html

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