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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 (list; graph; refs; listen; history; text; internal format)
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(n-1) = 8/3.

Lim_{n->infinity} a(n)/(8/3)^n = 4.38167....

LINKS

Yi Yang, Table of n, a(n) for n = 0..32

Chyanog, Illustration of initial terms (the blue squares are counted)

Wayne, Ickiverar, The C++ code generating the sequence

CROSSREFS

Cf. A094976, A242118, A293288.

Sequence in context: A209408 A316214 A134638 * A305638 A331757 A130129

Adjacent sequences:  A293286 A293287 A293288 * A293290 A293291 A293292

KEYWORD

nonn

AUTHOR

Yi Yang, Oct 05 2017

STATUS

approved

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Last modified August 13 04:54 EDT 2020. Contains 336442 sequences. (Running on oeis4.)