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A329927
a(n) is the number of squares with largest size after n iterations of the "Square Multiscale" substitution.
3
1, 1, 1, 1, 16, 1, 32, 1, 48, 1, 64, 256, 1, 80, 768, 1, 96, 1536, 1, 112, 2560, 4096, 1, 128, 3840, 16384, 1, 144, 5376, 40960, 1, 160, 7168, 81920, 65536, 1, 176, 9216, 143360, 327680, 1, 192, 11520, 229376, 983040, 1, 208, 14080, 344064, 2293760, 1048576, 1
OFFSET
0,5
COMMENTS
See A329919 for further details about the "Square Multiscale" substitution.
This sequence only contains ones and multiples of 16; the ones correspond to situations where the central square is the largest.
LINKS
Yotam Smilansky, Yaar Solomon, Multiscale Substitution Tilings, arXiv:2003.11735 [math.DS], 2020.
FORMULA
a(n) = (A329919(n+1) - A329919(n)) / 16.
PROG
(PARI) See Links section.
CROSSREFS
Sequence in context: A097522 A302153 A040271 * A036179 A309132 A099923
KEYWORD
nonn
AUTHOR
Rémy Sigrist, Nov 24 2019
STATUS
approved