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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. 2
 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, -1, -1, -2, -2, -2, -3, -3, -4, -4, -3, -3, -4, -5, -5, -4, -4, -3, -3, -2, -2, -2, -1, -1, 0, 0, 1, 1, 0, -1, -1, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 3, 3, 4, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,12 COMMENTS This sequence is the imaginary part of {f(n)} defined as: - f(0) = 0, - f(n+1) = f(n) + i^t(n) where t(n) is the number of 1's and 6's minus the number of 3's and 4's in the base 8 representation of n and i denotes the imaginary unit. LINKS Rémy Sigrist, Table of n, a(n) for n = 0..4096 Robert Ferréol (MathCurve), Saucisse de Minkowski [in French] Wikipedia, Minkowski sausage FORMULA a(8^k-m) = -a(m) for any k >= 0 and m = 0..8^k. PROG (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)))) } CROSSREFS Cf. A332246 (X-coordinates and additional comments). Sequence in context: A025778 A294622 A078451 * A341168 A071824 A224921 Adjacent sequences: A332244 A332245 A332246 * A332248 A332249 A332250 KEYWORD sign,look,base AUTHOR Rémy Sigrist, Feb 08 2020 STATUS approved

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Last modified April 1 23:04 EDT 2023. Contains 361717 sequences. (Running on oeis4.)