The decimal digits of Catalan's constant 
begin
 |
(OEIS A006752). Positions below are counted from 1 at the first decimal digit after the decimal point.
Based on methods developed in collaboration with M. Leclert, Catalan (1865) computed 
to 9 decimal places. In 1867, M. Bresse subsequently computed 
to 24 decimal places using a technique from Kummer. Glaisher
evaluated 
to 20 (Glaisher 1877, p. 190) and subsequently 32 decimal
digits (Glaisher 1913). Yee reports an unverified computation of 
to 
decimal digits
by A. Roberts completed on Dec. 12, 2010.
The Earls sequence for Catalan's constant 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 2, 107, 1225, 596, 32187, 185043, 20444527, 92589355,
3487283621, ... (OEIS A224819), corresponding
to 
,
2, ....
The reported lengths of 
-constant primes, formed
by the concatenation of initial decimal
digits of 
,
begin 52, 276, 25477, ... (OEIS A118328).
For each decimal digit 
, 1, ..., 9 and positive
integer 
,
let 
count the occurrences of 
in the first 
decimal digits of 
.
The following table gives reported values for 
, 2, ..., 9. It is not known if 
is normal in base
10.
 | OEIS | 10 | 100 |  |  |  |  |  |  |  |
| 0 | A224615 | 0 | 6 | 98 | 976 | 9828 | 99620 | 999784 | 9998686 | 99996067 |
| 1 | A224616 | 2 | 18 | 94 | 1039 | 9832 | 99697 | 1000293 | 10003813 | 100006305 |
| 2 | A224696 | 0 | 10 | 93 | 980 | 10078 | 100168 | 1001789 | 10005122 | 100000806 |
| 3 | A224706 | 0 | 7 | 104 | 1014 | 9859 | 99580 | 999672 | 9995676 | 100001483 |
| 4 | A224717 | 1 | 11 | 107 | 961 | 10051 | 100074 | 1000165 | 9995377 | 100001871 |
| 5 | A224774 | 3 | 10 | 89 | 1003 | 10062 | 100053 | 999965 | 9999309 | 100000777 |
| 6 | A224775 | 1 | 12 | 78 | 985 | 9986 | 100201 | 998712 | 10000674 | 99998816 |
| 7 | A224816 | 0 | 11 | 124 | 1032 | 10028 | 100083 | 1000510 | 10003863 | 100000576 |
| 8 | A224817 | 0 | 3 | 102 | 1058 | 10192 | 100352 | 999298 | 9997437 | 100000863 |
| 9 | A224818 | 3 | 12 | 111 | 952 | 10084 | 100172 | 999812 | 10000043 | 99992436 |
A scan reported no occurrence of the string 0123456789 in the first 
decimal digits of 
, and exactly one occurrence of the string
9876543210, starting at position 2748123761 (E. Weisstein, Aug. 7, 2013).
for 
, 4, 6." Messenger Math. 42, 35-58, 1913.Sloane,
N. J. A. Sequences