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A337132 a(n) is the number of squares at distance n from the central square of a Vicsek fractal. 2

%I #15 Dec 05 2020 04:34:41

%S 1,4,4,4,12,4,4,12,4,4,12,12,12,36,4,4,12,4,4,12,12,12,36,4,4,12,4,4,

%T 12,12,12,36,12,12,36,12,12,36,36,36,108,4,4,12,4,4,12,12,12,36,4,4,

%U 12,4,4,12,12,12,36,12,12,36,12,12,36,36,36,108,4,4,12

%N a(n) is the number of squares at distance n from the central square of a Vicsek fractal.

%C For symmetry reasons, a(n) is a multiple of 4 for any n > 0.

%H Rémy Sigrist, <a href="/A337132/b337132.txt">Table of n, a(n) for n = 0..6561</a>

%H Rémy Sigrist, <a href="/A337132/a337132.png">Illustration of initial terms</a>

%H Rémy Sigrist, <a href="/A337132/a337132.gp.txt">PARI program for A337132</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Vicsek_fractal">Vicsek fractal</a>

%F a(n) = 4 iff n belongs to A153775.

%o (PARI) See Links section.

%Y See A337018 for similar sequences.

%Y Cf. A153775.

%K nonn

%O 0,2

%A _Rémy Sigrist_, Nov 21 2020

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)