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Concatenation Sequence


A concatenation sequence, or concatenated number sequence, is an integer sequence constructed by concatenating digits onto previous sequence terms.

Examples are summarized in the following table.

sequenceOEISlimiting constantterms
Smarandache numbersA007908Champernowne constant1, 12, 123, 1234, 12345, 123456, ...
Smarandache-Wellin numbersA019518Copeland-Erdős constant2, 23, 235, 2357, 235711, ...
concatenation of binary digits of positive integersA058935binary Champernowne constant1, 110, 11011, 11011100, 11011100101, ...
concatenation of prime counting function valuesA366033prime-counting concatenation constant0, 01, 012, 0122, 01223, 012233, 0122334, ...

See also

Binary Champernowne Constant, Champernowne Constant, Consecutive Number Sequences, Copeland-Erdős Constant, Prime-Counting Concatenation Constant, Smarandache Sequences

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Cite this as:

Weisstein, Eric W. "Concatenation Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConcatenationSequence.html

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