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 A266074 Total number of OFF (white) cells after n iterations of the "Rule 3" elementary cellular automaton starting with a single ON (black) cell. 2
 0, 2, 6, 8, 16, 18, 30, 32, 48, 50, 70, 72, 96, 98, 126, 128, 160, 162, 198, 200, 240, 242, 286, 288, 336, 338, 390, 392, 448, 450, 510, 512, 576, 578, 646, 648, 720, 722, 798, 800, 880, 882, 966, 968, 1056, 1058, 1150, 1152, 1248, 1250, 1350, 1352, 1456 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55. LINKS Robert Price, Table of n, a(n) for n = 0..999 Eric Weisstein's World of Mathematics, Elementary Cellular Automaton FORMULA Empirical g.f.: (2*(-x - 2*x^2 + x^3))/((-1 + x)^3*(1 + x)^2). - Michael De Vlieger, Dec 21 2015 Empirical a(n) = 1/4*(2*n^2 + 2*(-1)^n*n + 6*n - (-1)^n + 1). - Colin Barker, Dec 21 2015 a(n) = 2*A135276(n). - Alois P. Heinz, Dec 21 2015 EXAMPLE From Michael De Vlieger, Dec 21 2015: (Start) First 12 rows, replacing "1" with "." for better visibility of OFF cells, followed by the total number of 0's per row, then the running total up to and including that row:                       .                        =  0  ->  0                     . 0 0                      =  2  ->  2                   0 0 0 . 0                    =  4  ->  6                 . . . . 0 0 .                  =  2  ->  8               0 0 0 0 0 0 . 0 0                =  8  -> 16             . . . . . . . 0 0 . .              =  2  -> 18           0 0 0 0 0 0 0 0 0 . 0 0 0            = 12  -> 30         . . . . . . . . . . 0 0 . . .          =  2  -> 32       0 0 0 0 0 0 0 0 0 0 0 0 . 0 0 0 0        = 16  -> 48     . . . . . . . . . . . . . 0 0 . . . .      =  2  -> 50   0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 . 0 0 0 0 0    = 20  -> 70 . . . . . . . . . . . . . . . . 0 0 . . . . .  =  2  -> 72 (End) CROSSREFS Cf. A135276. Sequence in context: A306906 A174658 A326300 * A191822 A238549 A237502 Adjacent sequences:  A266071 A266072 A266073 * A266075 A266076 A266077 KEYWORD nonn,easy AUTHOR Robert Price, Dec 20 2015 STATUS approved

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Last modified June 22 04:06 EDT 2021. Contains 345367 sequences. (Running on oeis4.)