A293288 Number of level n squares on a Sierpinski carpet that are enclosed in a circle with the same center and diameter.

0, 0, 32, 332, 2908, 23900, 192844, 1547068, 12388068, 99135316, 793162780, 6345516140, 50764701756, 406119132924, 3248957101772, 25991667561644, 207933369171996, 1663467029827132, 13307736442512524, 106461892083564380, 851695138117736668, 6813561108806027412

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