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First 3-digit number to appear n times in the decimal expansion of Pi.
8

%I #33 Aug 30 2017 14:47:04

%S 314,592,446,117,105,19,381,279,609,609,848,848,654,654,654,654,19,19,

%T 965,965,965,965,19,19,19,494,564,390,390,390,390,390,682,682,390,346,

%U 390,390,390,390,390,390,346,346,346,99,201,201,201,201,201,201,201

%N First 3-digit number to appear n times in the decimal expansion of Pi.

%C a(6) is the 3-digit number 019.

%C By the pigeonhole principle, it suffices to examine 1000n - 997 digits of Pi to find the n-th term; on average 1000n - O(sqrt n) will suffice. Do each of 0..999 appear in this sequence? Which appears last? - _Charles R Greathouse IV_, Sep 26 2016

%H Alois P. Heinz, <a href="/A276993/b276993.txt">Table of n, a(n) for n = 1..1000</a>

%e a(2) = 592 because 592 is the first 3-digit number to appear 2 times in the decimal expansion of Pi = 3.141(592)653589793238462643383279502884197169399375105820974944(592)...

%Y Cf. A000796, A096567, A276686, A276992, A277171, A290643, A291599, A291600.

%K nonn,base

%O 1,1

%A _Bobby Jacobs_, Sep 24 2016

%E More terms from _Alois P. Heinz_, Oct 02 2016