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Unlike oddly even and evenly even (doubly even) integers, the concept of evenly odd and oddly odd are rarely used.

The sequence of odd numbers is defined by Un = 2n - 1 where n is an integer.

They can also be defined as 2n + 1, but the previous definition is consistent with the first odd number being 1 whereas with the second definition, 1 is the 0th odd number.

If you accept that definition, then an evenly odd number is of the form 2(2m) - 1 where m is an integer.

The sequence is

EOm = 4m - 1 where m = 1, 2, 3, ...

or 3, 7, 11, ...

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Q: What is evenly odd in math?
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