A163529 The Y-coordinate of the n-th point in the Peano curve A163334.

0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8

Offset: 0

Author

Antti Karttunen, Aug 01 2009

Keywords

• nonn
• walk

Comments

There is a 2-state automaton that accepts exactly those pairs (n,a(n)) where n is represented in base 9 and a(n) in base 3; see accompanying file a163529.pdf. - Jeffrey Shallit, Aug 10 2023

Links

• Antti Karttunen, Table of n, a(n) for n = 0..59048
• Jeffrey Shallit, Automaton for A163529
• Index entries for sequences related to coordinates of 2D curves

Crossrefs

Cf. A002262, A163335, A025581, A163337, A163326, A163332.

Cf. A059252, A059253, A163528, A163530, A163531, A163533.

Formula

a(n) = A002262(A163335(n)) = A025581(A163337(n)) = A163326(A163332(n)).

Extensions

Name corrected by Kevin Ryde, Aug 28 2020