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A160379 Number of ON cells at n-th stage of three-dimensional 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 (list; graph; refs; listen; history; text; internal format)
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), 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

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) / ((x-1)^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

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Last modified October 20 16:08 EDT 2019. Contains 328268 sequences. (Running on oeis4.)