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 A332205 a(n) is the imaginary part of f(n) defined by f(0) = 0, and f(n+1) = f(n) + g((1+i)^(A065359(n) mod 8)) (where g(z) = z/gcd(Re(z), Im(z)) and i denotes the imaginary unit). 3
 0, 0, 1, 0, 0, 1, 2, 2, 3, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 7, 7, 8, 9, 9, 10, 9, 9, 8, 7, 7, 8, 7, 7, 6, 5, 4, 3, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 3, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 7, 7, 8, 9, 9, 10, 11, 12, 13, 14 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 COMMENTS Looks much like A005536, in particular in respect of its symmetries of scale (compare the scatterplots). - Peter Munn, Jun 21 2021 LINKS Rémy Sigrist, Table of n, a(n) for n = 0..16384 Larry Riddle, Koch Curve Rémy Sigrist, PARI program for A332205 FORMULA a(2^(2*k-1)) = A007052(k) for any k >= 0. a(4^k-m) = a(m) for any k >= 0 and m = 0..4^k. PROG (PARI) See Links section. CROSSREFS Cf. A005536, A007052, A065359, A332204 (real part and additional comments), A332206 (positions of 0's, cf. A001196). Sequence in context: A318958 A194827 A335359 * A219237 A138774 A156988 Adjacent sequences:  A332202 A332203 A332204 * A332206 A332207 A332208 KEYWORD nonn,look,base AUTHOR Rémy Sigrist, Feb 07 2020 STATUS approved

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Last modified May 20 23:05 EDT 2022. Contains 353886 sequences. (Running on oeis4.)