A305386 Indicator function of A140101.

0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0

Offset

1

Comments

a(n) = 1 iff n is in A140101.

This sequence is "Tribonacci-automatic"; there is a 14-state automaton that takes the Tribonacci representation of n as input and accepts if and only if a(n) = 1. - Jeffrey Shallit, Oct 05 2022

This sequence is given by deleting the 2s in the Tribonacci word A080843 - Daniel Rust, Feb 28 2023

Links

Michael De Vlieger, Table of n, a(n) for n = 1..10000

Robbert Fokkink and Dan Rust, Queen reflections: a modification of Wythoff Nim, Int'l J. Game Theory (2022).

Jeffrey Shallit, Some Tribonacci conjectures, arXiv:2210.03996 [math.CO], 2022.

Formula

A305385(n)+a(n) = A305387(n)+A305388(n) = 1 for all n.

Crossrefs

The indicator functions for A140100, A140101, A140102, A140103 are given in A305385, A305386, A305387, A305388.

Sequence in context: A272170 A126565 A215531 * A174998 A257800 A284772

Adjacent sequences: A305383 A305384 A305385 * A305387 A305388 A305389

Keyword

nonn

Author

N. J. A. Sloane, Jun 21 2018

Status

approved