A342325 a(n) is the position in digits of Pi where k(n) is for the first time leader in the race of digits of Pi. k(n) = 0, 1, ..., 9, 00, 01, ..., 99, 000, 001, ...

174999, 4, 187, 1, 274, 11, 990213634, 320741, 108, 59, 16972551346, 98100646316

Offset

0,1

Comments

48 out of all 100 two-digit combinations are never in the lead when the first 100 billion digits of Pi are analyzed. 02 is the first of these 48, hence a(12) is unknown so far. The results for the 52 two-digit numbers which took the lead at some time are given in the link below.

Links

Table of n, a(n) for n=0..11.

Ruediger Jehn, Leaderboard considering the first 100 billion digits

Example

a(1) = 4 because the 1 becomes the leader in the race of digits of Pi for the first time after 4 digits: 3141.
a(41) = 2 because k(41) = 31 and 31 is the leader after two digits of Pi.

Crossrefs

Cf. A000796, A195835.

Sequence in context: A202491 A257359 A126557 * A236116 A224253 A252843

Adjacent sequences: A342322 A342323 A342324 * A342326 A342327 A342328

Keyword

nonn,base,more

Author

Ruediger Jehn and Kester Habermann, Mar 08 2021

Status

approved