login
The Y-coordinate of the n-th point in the Peano curve A163334.
14

%I #25 Aug 12 2023 12:47:54

%S 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,

%T 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,

%U 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

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

%C 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

%H Antti Karttunen, <a href="/A163529/b163529.txt">Table of n, a(n) for n = 0..59048</a>

%H Jeffrey Shallit, <a href="/A163529/a163529.pdf">Automaton for A163529</a>

%H <a href="/index/Con#coordinates_2D_curves">Index entries for sequences related to coordinates of 2D curves</a>

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

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

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

%K nonn,walk

%O 0,7

%A _Antti Karttunen_, Aug 01 2009

%E Name corrected by _Kevin Ryde_, Aug 28 2020