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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 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 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: A226191 A098883 A326893 * 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 17 15:00 EDT 2019. Contains 328115 sequences. (Running on oeis4.)