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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 November 30 18:40 EST 2021. Contains 349424 sequences. (Running on oeis4.)