The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 6 22:36 EST 2023. Contains 367616 sequences. (Running on oeis4.)