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

Author

Omar E. Pol, Jun 14 2009

Keywords

• nonn

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

Crossrefs

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

Formula

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

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