A322056 First differences of A322055.

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

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 A371444

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