Euler in Babylon

Step Numbers

January 19, 2008

Consider the number 45656. It can be seen that each pair of consecutive digits of 45656 has a difference of one. A number for which every pair of consecutive digits has a difference of one is called a step number. A pandigital number contains every decimal digit from 0 to 9 at least once.

How many pandigital step numbers less than 1040 are there?


gamwe6

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