

A160379


Number of ON cells at nth stage of threedimensional version of the cellular automaton A160117 using cubes.


7



0, 1, 27, 35, 235, 261, 881, 937, 2241, 2339, 4591, 4743, 8207, 8425, 13365, 13661, 20341, 20727, 29411, 29899, 40851, 41453, 54937, 55665, 71945, 72811, 92151, 93167, 115831, 117009, 143261, 144613, 174717, 176255, 210475, 212211, 250811, 252757, 296001
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OFFSET

0,3


COMMENTS

Each cell has 26 neighbors.


LINKS

Table of n, a(n) for n=0..38.
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n1)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
Index entries for linear recurrences with constant coefficients, signature (1,3,3,3,3,1,1).


FORMULA

a(2n) = 46n^3  57n^2 + 57n  19 for n>=1, a(2n+1) = 46n^3  51n^2 + 57n  17 for n>=1. [From Nathaniel Johnston, Nov 06 2010]
G.f.: x*(18*x^3+x^2+26*x+1)*(x^4+4*x^2+1) / ((x1)^4*(x+1)^3).  Colin Barker, Feb 28 2013


CROSSREFS

Cf. A139250, A139251, A160117, A160118, A116119, A160160.
Sequence in context: A098883 A326893 A160119 * A152053 A166649 A025145
Adjacent sequences: A160376 A160377 A160378 * A160380 A160381 A160382


KEYWORD

nonn,easy


AUTHOR

Omar E. Pol, May 11 2009


EXTENSIONS

Edited by Omar E. Pol, Sep 05 2009
a(6)  a(27) from Nathaniel Johnston, Nov 06 2010
a(28)  a(38) from Colin Barker, Feb 28 2013


STATUS

approved



