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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 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 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.)