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A332247 a(n) is the Y-coordinate of the n-th point of the Minkowski sausage (or Minkowski curve). Sequence A332246 gives X-coordinates.

%I A332247 #20 Feb 12 2020 16:13:05
%S A332247 0,0,1,1,0,-1,-1,0,0,1,1,2,2,2,3,3,4,4,5,5,4,3,3,4,4,3,3,2,2,2,1,1,0,
%T A332247 -1,-1,-2,-2,-2,-3,-3,-4,-4,-3,-3,-4,-5,-5,-4,-4,-3,-3,-2,-2,-2,-1,-1,
%U A332247 0,0,1,1,0,-1,-1,0,0,1,1,2,2,2,3,3,4,4,3,3,4,5
%N A332247 a(n) is the Y-coordinate of the n-th point of the Minkowski sausage (or Minkowski curve). Sequence A332246 gives X-coordinates.
%C A332247 This sequence is the imaginary part of {f(n)} defined as:
%C A332247 - f(0) = 0,
%C A332247 - f(n+1) = f(n) + i^t(n)
%C A332247   where t(n) is the number of 1's and 6's minus the number of 3's and 4's
%C A332247              in the base 8 representation of n
%C A332247     and i denotes the imaginary unit.
%H A332247 Rémy Sigrist, <a href="/A332247/b332247.txt">Table of n, a(n) for n = 0..4096</a>
%H A332247 Robert Ferréol (MathCurve), <a href="https://www.mathcurve.com/fractals/minkowski/minkowski.shtml">Saucisse de Minkowski</a> [in French]
%H A332247 Wikipedia, <a href="https://en.wikipedia.org/wiki/Minkowski_Sausage">Minkowski sausage</a>
%H A332247 <a href="/index/Con#coordinates_2D_curves">Index entries for sequences related to coordinates of 2D curves</a>
%F A332247 a(8^k-m) = -a(m) for any k >= 0 and m = 0..8^k.
%o A332247 (PARI) { dd = [0,1,0,-1,-1,0,1,0]; z=0; for (n=0, 77, print1 (imag(z)", "); z += I^vecsum(apply(d -> dd[1+d], digits(n, #dd)))) }
%Y A332247 Cf. A332246 (X-coordinates and additional comments).
%K A332247 sign,look,base
%O A332247 0,12
%A A332247 _Rémy Sigrist_, Feb 08 2020