login
Decimal expansion of the limit of A357063(k)/3^(k-1) as k goes to infinity.
2

%I #11 Oct 25 2022 11:38:34

%S 1,5,7,7,2,2,7,9,2,3,9,9,4,5,0,0,6,9,4,1,0

%N Decimal expansion of the limit of A357063(k)/3^(k-1) as k goes to infinity.

%C In the article "The first occurrence of a number in Gijswijt's sequence", this constant is called epsilon_2. Its existence is proved in Theorem 7.2. The constant occurs in a direct formula (Theorem 7.11) for the first occurrence of an integer n in the level-2 Gijswijt sequence A091787.

%H Levi van de Pol, <a href="https://arxiv.org/abs/2209.04657">The first occurrence of a number in Gijswijt's sequence</a>, arXiv:2209.04657 [math.CO], 2022.

%F Equal to 1 + Sum_{k>=1} A091840(k)/3^k. Proved in Corollary 7.3 of the article "The first occurrence of a number in Gijswijt's sequence".

%e 1.57722792399450069410...

%Y Cf. A091787, A357063, A091840, A357066, A357067.

%K nonn,cons,more

%O 1,2

%A _Levi van de Pol_, Oct 24 2022