Let x be a number of arbitrary base such that D is the set of its digits. x is a ***Can't think of a name Number*** if for any number n between 1 and the length of the number, D_(n+1) = D_n + D_n-1 + ... + D_1 + n. So for example, let's take the number 349 in base 10. If we label the indices for this number, we have:
1 2 3
3 4 9
Starting from the first digit, we have 3 + 1 = 4. Then with the second digit we have 3 + 4 + 2 = 9. So this number is a Can't think of a name Number.
Here's the challenge. Given a base between 1 and 62, calculate all the Can't think of a name Numbers for that ba…