

A293289


Number of level n squares on a Sierpinski carpet that intersect the edge of a circle with the same center and diameter.


2



1, 8, 28, 76, 204, 580, 1556, 4180, 11204, 29724, 79276, 212076, 565692, 1509332, 4026028, 10740796, 28646804, 76396620, 203728972, 543283204, 1448779164, 3863345612, 10302538780, 27473690092, 73263231116, 195369181668, 520985280228, 1389296277316, 3704793953044
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OFFSET

0,2


COMMENTS

There are 8^n level n squares on a Sierpinski carpet.
The terms of this sequence have a common factor 4 except a(0).
Lim_{n>infinity} a(n)/a(n1) = 8/3.
Lim_{n>infinity} a(n)/(8/3)^n = 4.38167....


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CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



