The On-Line Encyclopedia of Integer Sequences (OEIS)

A163529 revision #25

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

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OFFSET

0,7

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

FORMULA

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

CROSSREFS

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

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

Sequence in context: A297037 A127322 A340172 * A283655 A262742 A360078

Adjacent sequences: A163526 A163527 A163528 * A163530 A163531 A163532

KEYWORD

nonn,walk

AUTHOR

Antti Karttunen, Aug 01 2009

EXTENSIONS

Name corrected by Kevin Ryde, Aug 28 2020

STATUS

approved