A357066 Decimal expansion of the limit of k/A357065(k) as k goes to infinity.

6, 9, 1, 6, 7, 2, 2, 0, 8, 7, 8, 1, 1, 2, 6, 1, 5, 3, 3, 8

Offset

0,1

Comments

In the article "The first occurrence of a number in Gijswijt's sequence", this constant is called nu_1. Its existence is proven in Proposition 6.13(c). The constant occurs in a direct formula (Theorem 7.11) for A091409(n), the first occurrence of the integer n in Gijswijt's sequence A090822.

Links

Table of n, a(n) for n=0..19.

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

Levi van de Pol, Gijswijt-sequences: Code for article on Gijswijt sequences, zenodo. (Algorithm nu_m.py)

Example

0.69167220878112615338...

Prog

(Python) # See nu_m.py program in zenodo link

Crossrefs

Cf. A090822, A091409, A357065.

Sequence in context: A154116 A275614 A198504 * A179593 A117871 A011454

Adjacent sequences: A357063 A357064 A357065 * A357067 A357068 A357069

Keyword

nonn,cons,more

Author

Levi van de Pol, Oct 21 2022

Status

approved