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 A255471 a(n) = A255470(2^n-1). 2
 1, 6, 24, 100, 396, 1596, 6364, 25500, 101916, 407836, 1631004, 6524700, 26097436, 104392476, 417564444, 1670268700, 6681052956, 26724255516, 106896934684, 427587913500, 1710351304476, 6841405916956, 27365622269724, 109462491875100, 437849961907996, 1751399858816796, 7005599412897564, 28022397696329500, 112089590695839516 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Shalosh B. Ekhad, N. J. A. Sloane, and  Doron Zeilberger, A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd-Rule Cellular Automata, arXiv:1503.01796 [math.CO], 2015; see also the Accompanying Maple Package. Shalosh B. Ekhad, N. J. A. Sloane, and  Doron Zeilberger, Odd-Rule Cellular Automata on the Square Grid, arXiv:1503.04249 [math.CO], 2015. 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 linear recurrences with constant coefficients, signature (3,6,-8). FORMULA G.f.: (1+3*x)/((1-x)*(1+2*x)*(1-4*x)). From Colin Barker, Feb 04 2017: (Start) a(n) = (-4 - (-2)^n + 7*2^(1+2*n)) / 9. a(n) = 3*a(n-1) + 6*a(n-2) - 8*a(n-3) for n>2. (End) PROG (PARI) Vec((1+3*x) / ((1-x)*(1+2*x)*(1-4*x)) + O(x^30)) \\ Colin Barker, Feb 04 2017 CROSSREFS Cf. A255470. Sequence in context: A117614 A037688 A343116 * A126393 A265697 A120583 Adjacent sequences:  A255468 A255469 A255470 * A255472 A255473 A255474 KEYWORD nonn,easy AUTHOR N. J. A. Sloane and Doron Zeilberger, Feb 23 2015 STATUS approved

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Last modified September 26 22:11 EDT 2022. Contains 357051 sequences. (Running on oeis4.)