A328080 Number of regions after 2n generations of Jim Conant's iterative dissection of a square.

1, 3, 9, 27, 91, 325, 1201, 4527, 17227, 65929, 252997, 972339, 3739775, 14389629, 55378713, 213148903, 820441299, 3158089841, 12156483245, 46794497819, 180128888999, 693382455013

Offset

0,2

Comments

A bisection of A328078. See that entry for more information.

In some sense this is a more fundamental sequence than A328078, since the configurations corresponding to the terms A328078(2n+1) are unfinished (or, to put it another way, could be compressed without changing the topology).

Links

Table of n, a(n) for n=0..21.

N. J. A. Sloane, Notes on the Conant Gasket, the Conant Lattice, and Associated Sequences, Preliminary version, Aug 23 2020

Crossrefs

Cf. A328078, A337262, A337642 (coordination sequence).

Sequence in context: A113994 A302860 A217639 * A148925 A148926 A146573

Adjacent sequences: A328077 A328078 A328079 * A328081 A328082 A328083

Keyword

nonn,more

Author

N. J. A. Sloane, Oct 13 2019

Extensions

a(5)-a(13) from Rémy Sigrist, Oct 14 2019

a(14)-a(21) from Rémy Sigrist, Sep 09 2020

Status

approved