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The X-coordinate of the n-th point in the Peano curve A163334.
16

%I #27 Aug 13 2023 22:41:02

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

%T 7,6,5,4,3,3,4,5,5,4,3,2,1,0,0,1,2,2,1,0,0,1,2,2,1,0,0,1,2,3,4,5,5,4,

%U 3,3,4,5,6,7,8,8,7,6,6,7,8,9,10,11,11,10,9,9,10,11,12,13,14,14,13,12

%N The X-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 a163528.pdf - _Jeffrey Shallit_, Aug 10 2023

%H Antti Karttunen, <a href="/A163528/b163528.txt">Table of n, a(n) for n = 0..59048</a>

%H Jeffrey Shallit, <a href="/A163528/a163528.pdf">Automaton for A163528</a>

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

%F a(n) = A025581(A163335(n)) = A002262(A163337(n)) = A163325(A163332(n)).

%Y Cf. A025581, A163335, A002262, A163337, A163325, A163332.

%Y See also: A059252, A059253, A163529, A163530, A163531, A163532.

%K nonn

%O 0,3

%A _Antti Karttunen_, Aug 01 2009

%E Name corrected by _Kevin Ryde_, Aug 28 2020