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A160119 A three-dimensional version of the cellular automaton A160118, using cubes. 6
0, 1, 27, 35, 235, 243, 443, 499, 1899, 1907, 2107, 2163, 3563, 3619, 5019, 5411, 15211, 15219, 15419, 15475, 16875, 16931, 18331, 18723, 28523, 28579, 29979, 30371, 40171, 40563, 50363, 53107, 121707 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Each cell has 26 neighbors.

Differs from A160379 in the same way that A160118 differs from A160117. - N. J. A. Sloane, Jan 01 2010

LINKS

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

David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata

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

Index entries for sequences related to cellular automata

FORMULA

Contribution from Nathaniel Johnston, Mar 24 2011: (Start)

a(2n-1) = 27 + 8*Sum_{k=1..n-1}A151785(k) + 200*Sum_{k=1..n-2}A151785(k), n >= 2.

a(2n) = 27 + 8*Sum_{k=1..n-1}A151785(k) + 200*Sum_{k=1..n-1}A151785(k), n >= 1.

In general, a d-dimensional version of the cellular automaton A160118 has its cell count given by the following formulas (where wt(k) = A000120(k)):

a(2n-1) = 3^d + (2^d)*Sum_{k=1..n-1}(2^d-1)^(wt(k)-1) + (2^d)*(3^d-2)*Sum_{k=1..n-2}(2^d-1)^(wt(k)-1), n >= 2.

a(2n) = 3^d + (2^d)*Sum_{k=1..n-1}(2^d-1)^(wt(k)-1) + (2^d)*(3^d-2)*Sum_{k=1..n-1}(2^d-1)^(wt(k)-1), n >= 1. (End)

CROSSREFS

Cf. A139250, A139251, A160117, A160118.

Sequence in context: A134101 A226191 A098883 * A160379 A152053 A166649

Adjacent sequences:  A160116 A160117 A160118 * A160120 A160121 A160122

KEYWORD

nonn

AUTHOR

Omar E. Pol, May 05 2009

EXTENSIONS

More terms from Omar E. Pol, May 11 2009

Edited by N. J. A. Sloane, Sep 05 2009

a(8)-a(32) from Nathaniel Johnston, Mar 24 2011

STATUS

approved

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Last modified October 16 05:44 EDT 2018. Contains 316259 sequences. (Running on oeis4.)