Math Puzzle Monday! Congrats to
>>3737860 for adroitly dealing with the taxman. Now for this week's new challenge.
https://gizmodo.com/gizmodo-monday-puzzle-number-that-describes-itself-1851383295Puzzle #39: A Self-Referential NumberOnly one 10-digit number has the following property. Its left-most digit is the number of 0s in the number, the next digit is the number of 1s in the number, the next is the number of 2s, and so on until the right-most digit, which is the number of 9s in the number.
Find the number. Numbers can’t begin with a zero.
An example of a four-digit number with this property is 2020. The first digit indicates that the number contains two 0s, the next indicates zero 1s, the next indicates two 2s, and the final indicates zero 3s.
Bonus: you can seed the look-and-say sequence with any whole number. For example, if you started with 39, then the next entry would be 1319 (one three, one nine). Conway proved that all seeds yield a sequence whose entries grow to infinity, with only one exception.
Find the exception.