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Metadrome


A metadrome is a nonnegative integer whose hexadecimal digits are in strict ascending order. The first few are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 19, 20, ... (OEIS A023784).

A number whose hexadecimal digits are in nonincreasing order is a nialpdrome. A number can be neither a metadrome nor a nialpdrome, as illustrated by the hexadecimal number 121.

The following table summarizes related classes of numbers.

namebase-16 digit order
katadromestrict descending
metadromestrict ascending
nialpdromenonincreasing
plaindromenondecreasing

See also

Digit, Hexadecimal, Katadrome, Nialpdrome, Plaindrome

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References

Sloane, N. J. A. Sequence A023784 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Metadrome

Cite this as:

Weisstein, Eric W. "Metadrome." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Metadrome.html

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