[seqfan] Dividing the sum of the k leftmost digits of n by k

[Harvey P. Dale]

            Further to Robert Israel's post (showing that there are 15
7-digit numbers satisfying the tests), here is a complete count of the
numbers that satisfy the tests:

            Number of Digits                   Total number

1                                                                9

2                                                              36

3                                                             105

4                                                             165

5                                                             233

6                                                             110

7                                                               15

That makes a grand total of 673 numbers that satisfy the tests.

            Best,

            Harvey P. Dale