Undulating number

Undulating number

An undulating number is a number that has the digit form ababab... when in the base 10 number system. It is sometimes restricted to non-trivial undulating numbers which are required to have at least 3 digits and a ≠ b. The first 20 such numbers are:

:101, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 232, 242, 252, 262, 272, 282, 292, 303, 313 OEIS|id=A046075

Some higher undulating numbers are: 6363, 80808, 1717171.

For any "n" ≥ 3, there are 9 × 9 = 81 non-trivial "n"-digit undulating numbers, since the first digit can have 9 values (it cannot be 0), and the second digit can have 9 values when it must be different from the first.

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