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 A253102 a(n) = A071053(n)^3. 2
 1, 27, 27, 125, 27, 729, 125, 1331, 27, 729, 729, 3375, 125, 3375, 1331, 9261, 27, 729, 729, 3375, 729, 19683, 3375, 35937, 125, 3375, 3375, 15625, 1331, 35937, 9261, 79507, 27, 729, 729, 3375, 729, 19683, 3375, 35937, 729, 19683, 19683, 91125, 3375, 91125, 35937, 250047, 125, 3375, 3375, 15625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Number of ON cells at n-th generation of 3-D CA defined by generalization of Rule 150, starting with a single ON cell at generation 0. Number of odd coefficients in ((1/x+1+x)*(1/y+1+y)*(1/z+1+z))^n. Run length transform of A253103. LINKS Table of n, a(n) for n=0..51. N. J. A. Sloane, On the No. of ON Cells in Cellular Automata, Video of talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Feb. 05 2015: Part 1, Part 2 N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168 [math.CO], 2015. Index entries for sequences related to cellular automata MATHEMATICA a71053[n_] := Total[CoefficientList[(x^2 + x + 1)^n, x, Modulus -> 2]]; Table[a71053[n]^3, {n, 0, 51}] (* Jean-François Alcover, Sep 15 2018 *) CROSSREFS Cf. A071053, A246035, A253103. Sequence in context: A022361 A238370 A056131 * A165848 A031957 A350769 Adjacent sequences: A253099 A253100 A253101 * A253103 A253104 A253105 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 20 2015 STATUS approved

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Last modified September 14 02:27 EDT 2024. Contains 375910 sequences. (Running on oeis4.)