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A293288 Number of level n squares on a Sierpinski carpet that are enclosed in a circle with the same center and diameter. 3
0, 0, 32, 332, 2908, 23900, 192844, 1547068, 12388068, 99135316, 793162780, 6345516140, 50764701756, 406119132924, 3248957101772, 25991667561644, 207933369171996, 1663467029827132, 13307736442512524, 106461892083564380, 851695138117736668, 6813561108806027412 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

There are 8^n level n squares on a Sierpinski carpet.

The terms of this sequence have a common factor 4.

Lim_{n->infinity} a(n)/a(n-1) = 8.

Lim_{n->infinity} a(n)/8^n = 0.73872777586247800994....

LINKS

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

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

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

CROSSREFS

Cf. A001018, A261849, A293289.

Sequence in context: A297611 A201152 A223017 * A248068 A248069 A145402

Adjacent sequences:  A293285 A293286 A293287 * A293289 A293290 A293291

KEYWORD

nonn

AUTHOR

Yi Yang, Oct 04 2017

STATUS

approved

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Last modified August 11 00:55 EDT 2022. Contains 356046 sequences. (Running on oeis4.)