A161340 Number of "ON" cells at n-th stage of three-dimensional version of the cellular automaton A160414 using cubes.

0, 1, 27, 83, 343, 399, 791, 1183, 3375, 3431, 3823, 4215, 6959, 7351, 10095, 12839, 29791, 29847, 30239, 30631, 33375, 33767, 36511, 39255, 58463, 58855, 61599, 64343, 83551, 86295, 105503, 124711, 250047, 250103, 250495, 250887, 253631, 254023, 256767, 259511

Offset

0,3

Comments

For the first differences see A161341, where an explicit formula is given.

Links

Jinyuan Wang, Table of n, a(n) for n = 0..1000

David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.]

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Index entries for sequences related to cellular automata

Formula

a(n) = (2n-1)^3 if n is a power of 2.

Crossrefs

Cf. A000079, A000578, A139250, A160119, A160379, A160414, A160428, A161341.

Sequence in context: A251088 A044981 A251081 * A043182 A039359 A043962

Adjacent sequences: A161337 A161338 A161339 * A161341 A161342 A161343

Keyword

nonn

Author

Omar E. Pol, Jun 14 2009

Extensions

Edited by Omar E. Pol, Sep 05 2009, Nov 21 2010

More terms from Nathaniel Johnston, Nov 15 2010

More terms from Jinyuan Wang, Mar 14 2020

Status

approved