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 A322056 First differences of A322055. 3
 1, 8, 32, 32, 72, 40, 136, 64, 192, 72, 232, 112, 304, 104, 328, 160, 416, 136, 424, 208, 528, 168, 520, 256, 640, 200, 616, 304, 752, 232, 712, 352, 864, 264, 808, 400, 976, 296, 904, 448, 1088, 328, 1000, 496, 1200, 360, 1096, 544, 1312, 392, 1192, 592, 1424 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Number of cells turned ON at generation n of the knight's-move cellular automaton described in A322055. This is another knight's-move version of the Ulam-Warburton cellular automaton (see A147562). LINKS Rémy Sigrist, Table of n, a(n) for n = 0..1000 N. J. A. Sloane, Illustration of a(0) to a(5). FORMULA Conjectures from Colin Barker, Dec 22 2018: (Start) G.f.: (1 + 8*x + 32*x^2 + 32*x^3 + 70*x^4 + 24*x^5 + 72*x^6 + 49*x^8 - 8*x^10 + 16*x^11 - 8*x^12) / ((1 - x)^2*(1 + x)^2*(1 + x^2)^2). a(n) = 2*a(n-4) - a(n-8) for n>8. (End) CROSSREFS Cf. A139250, A147562, A319018, A319019, A322055. Sequence in context: A299448 A300086 A115948 * A059880 A144096 A127988 Adjacent sequences: A322053 A322054 A322055 * A322057 A322058 A322059 KEYWORD nonn AUTHOR N. J. A. Sloane, Dec 21 2018 EXTENSIONS More terms from Rémy Sigrist, Dec 22 2018 STATUS approved

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Last modified May 31 14:41 EDT 2023. Contains 363068 sequences. (Running on oeis4.)