A335699 - OEIS

A335699

Irregular tree read by rows: take the Stern-Brocot tree A007305(n)/A007306(n) and set a(n) = A007306(n) - A007305(n) mod 3.

1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2

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OFFSET

0,4

LINKS

Table of n, a(n) for n=0..77.

Kiana Mittelstaedt, A Stochastic Approach to Eulerian Numbers, arXiv:1902.03195 [math.CO], 2019. Also Amer. Math. Mnthly, 127:7 (2020), 618-628. See Fig. 5. Note that this author has omitted the two initial terms.

EXAMPLE

The initial rows of the tree are 1,0 // 1 // 2,1 // 0,0,2,1 // 1,2,2,1,0,0,2,1 // ...

CROSSREFS

Cf. A002487, A007305, A007306, A049448, A049449, A057431.

Sequence in context: A369428 A125070 A125071 * A177207 A161528 A175083

Adjacent sequences: A335696 A335697 A335698 * A335700 A335701 A335702

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Aug 05 2020

STATUS

approved