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%I A163535 #12 Aug 30 2020 04:22:41
%S A163535 1,1,0,3,3,0,1,1,1,1,1,2,3,3,2,1,1,1,1,1,0,3,3,0,1,1,0,3,3,0,1,1,0,3,
%T A163535 3,3,3,3,2,1,1,2,3,3,3,3,3,0,1,1,0,3,3,0,1,1,0,3,3,0,1,1,1,1,1,2,3,3,
%U A163535 2,1,1,1,1,1,0,3,3,0,1,1,1,1,1,2,3,3,2,1,1,1,1,1,0,3,3,0,1,1,1,1,1,2
%N A163535 The absolute direction (0=east, 1=south, 2=west, 3=north) of the Peano curve A163336 at point n.
%C A163535 Taking every ninth term gives the same sequence: (and similarly for all higher powers of 9 as well): a(n) = a(9*n).
%H A163535 Antti Karttunen, <a href="/A163535/b163535.txt">Table of n, a(n) for n = 1..6561</a>
%F A163535 a(n) = A010873(A163532(n)+A163533(n)+abs(A163532(n))+3).
%F A163535 a(n) = A004442(A163534(n)).
%o A163535 (Scheme:) (define (A163535 n) (modulo (+ 3 (A163532 n) (A163533 n) (abs (A163532 n))) 4))
%Y A163535 Cf. A163534 (transposed), A163537 (turn).
%K A163535 nonn
%O A163535 1,4
%A A163535 _Antti Karttunen_, Aug 01 2009
%E A163535 Name corrected by _Kevin Ryde_, Aug 29 2020

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