The Copeland-Erdős constant digits are the decimal digits following the decimal point in the decimal expansion of the Copeland-Erdős constant,
 |
(OEIS A033308). Positions below are counted from 1 at the first decimal digit after the decimal point.
The Earls sequence for 
records the starting position of the first occurrence of the
string formed by the concatenation
of 
copies of the decimal representation of the positive
integer 
. Its reported initial terms are 5, 113, 1181, 21670, 263423,
7815547, 35619942, ... (OEIS A224897), corresponding
to 
,
2, ....
A scan reported no occurrences of the strings 0123456789 and 9876543210 in the first 
decimal digits of 
(E. Weisstein, Jul. 24, 2013).
The reported lengths of 
-constant primes and probable primes, formed from initial decimal
digits of 
, begin 1, 2, 4, 11, 353, 355, 499, 1171, 1543, 5719, 11048,
68433, 97855, 292447, ... (OEIS A227530). A
search reported no further examples with fewer than 
decimal digits (Rodenkirch,
Jun. 18, 2016).
The starting positions of the first occurrences of the decimal representations of 
,
1, 2, ... in the decimal expansion of 
are 48, 5, 1, 2, 21, 3, 31, 4, 41, 12, ... (OEIS A229190).
Scanning the decimal expansion of 
until all length-
digit strings have occurred, allowing
leading zeros and overlapping occurrences, the reported last strings for 
, 2, ... are 0, 84, 504, 8580, 07010, 088880, ..., which
end at positions 48, 934, 24437, 366399, 4910479, 49672582, ....
The Copeland-Erdős constant is a normal number in base 10 (Copeland and Erdős
1946). Nevertheless, its digit counts in finite prefixes
can be far from uniform. The following table gives reported counts of each digit 
in the first 
decimal digits, for 
,
2, ..., 9.
 | OEIS | 10 | 100 |  |  |  |  |  |  |  |
| 0 | 0 | 4 | 46 | 575 | 6799 | 75249 | 790407 | 8129359 | 83121745 | |
| 1 | 4 | 33 | 266 | 2301 | 20468 | 187375 | 1766602 | 16794379 | 161034016 | |
| 2 | 1 | 4 | 63 | 731 | 8016 | 84314 | 876083 | 9016914 | 91679602 | |
| 3 | 2 | 16 | 134 | 1259 | 12015 | 115987 | 1134513 | 11201736 | 110467722 | |
| 4 | 0 | 4 | 60 | 685 | 7286 | 76925 | 796194 | 8202026 | 83946253 | |
| 5 | 1 | 5 | 58 | 674 | 7346 | 76886 | 794905 | 8161691 | 83863547 | |
| 6 | 0 | 4 | 60 | 667 | 7247 | 76745 | 794002 | 8154232 | 83381734 | |
| 7 | 2 | 16 | 133 | 1228 | 11889 | 115336 | 1129053 | 11107597 | 109702515 | |
| 8 | 0 | 3 | 57 | 654 | 7107 | 76273 | 791955 | 8141173 | 83207903 | |
| 9 | 0 | 11 | 123 | 1226 | 11827 | 114910 | 1126286 | 11090893 | 109594963 |
