A357068 Decimal expansion of the limit of A357063(k)/3^(k-1) as k goes to infinity.

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

Offset

1,2

Comments

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.

Links

Table of n, a(n) for n=1..21.

Levi van de Pol, The first occurrence of a number in Gijswijt's sequence, arXiv:2209.04657 [math.CO], 2022.

Formula

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".

Example

1.57722792399450069410...

Crossrefs

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

Sequence in context: A210624 A001620 A242220 * A245726 A101456 A084823

Adjacent sequences: A357065 A357066 A357067 * A357069 A357070 A357071

Keyword

nonn,cons,more

Author

Levi van de Pol, Oct 24 2022

Status

approved