Given the following:

1: 1

2: 23

3: 356

4: 4800

5: 60355

6: 727021

7: 8504798

8: 97393686

9: 1097393685

10: 10101010102107494695

11: 1121212121213218605806

12: 122333333333334430727018

13: 13253646464646465743858331

14: 1427395060606060607157999745

Formula: a(n) = Sum_{i=1…n} A000461(i). a(n) = Sum_{i=1…n} i*(10^(i*L(i))-1)/(10^L(i)-1) where L(i) = A004216(i) + 1 = floor(log_10(10i)).

Example for 5:

1 + 22 + 333 + 4444 + 55555

= 60355

I have written a PHP script to do this simply.

```
<?php
$n = 14;
$r = [];
foreach (range(1, $n) as $e) {
$d = str_repeat($e, $e);
array_push($r, $d);
$d = number_format(array_sum($r), 0, "", "");
echo $e . ": " . $d . "\n";
}
?>
```

Output result:

1: 1

2: 23

3: 356

4: 4800

5: 60355

6: 727021

7: 8504798

8: 97393686

9: 1097393685

10: 10101010102107494400

11: 1121212121213218586624

12: 122333333333334432940032

13: 13253646464646464531333120

14: 1427395060606060695451074560

The error begins at 10. I am assuming that the real answer for 10 would be 1097393685 + 10101010101010101010, but the answers do not match. I am unable to find an online calculator that does not have * E*. I am guessing that the PHP rounds up somewhere, but it doesn’t seem to be so.