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A329927 a(n) is the number of squares with largest size after n iterations of the "Square Multiscale" substitution.

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%I A329927 #14 Mar 28 2020 10:12:48
%S A329927 1,1,1,1,16,1,32,1,48,1,64,256,1,80,768,1,96,1536,1,112,2560,4096,1,
%T A329927 128,3840,16384,1,144,5376,40960,1,160,7168,81920,65536,1,176,9216,
%U A329927 143360,327680,1,192,11520,229376,983040,1,208,14080,344064,2293760,1048576,1
%N A329927 a(n) is the number of squares with largest size after n iterations of the "Square Multiscale" substitution.
%C A329927 See A329919 for further details about the "Square Multiscale" substitution.
%C A329927 This sequence only contains ones and multiples of 16; the ones correspond to situations where the central square is the largest.
%H A329927 Rémy Sigrist, <a href="/A329927/b329927.txt">Table of n, a(n) for n = 0..10000</a>
%H A329927 Rémy Sigrist, <a href="/A329927/a329927.gp.txt">PARI program for A329927</a>
%H A329927 Yotam Smilansky, Yaar Solomon, <a href="https://arxiv.org/abs/2003.11735">Multiscale Substitution Tilings</a>, arXiv:2003.11735 [math.DS], 2020.
%F A329927 a(n) = (A329919(n+1) - A329919(n)) / 16.
%o A329927 (PARI) See Links section.
%Y A329927 Cf. A328074, A329919.
%K A329927 nonn
%O A329927 0,5
%A A329927 _Rémy Sigrist_, Nov 24 2019