A314068 Coordination sequence Gal.3.55.2 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

1, 5, 11, 15, 22, 27, 31, 37, 42, 49, 53, 57, 64, 69, 75, 79, 84, 91, 95, 101, 106, 111, 117, 121, 128, 133, 137, 143, 148, 155, 159, 163, 170, 175, 181, 185, 190, 197, 201, 207, 212, 217, 223, 227, 234, 239, 243, 249, 254, 261

Offset

0,2

Comments

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Links

Table of n, a(n) for n=0..49.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

Formula

Conjectures from Chai Wah Wu, Aug 03 2020: (Start)

a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-5) - a(n-6) + a(n-7) - a(n-8) for n > 8.

G.f.: (x^8 + 4*x^7 + 7*x^6 + 8*x^5 + 13*x^4 + 8*x^3 + 7*x^2 + 4*x + 1)/((x - 1)^2*(x^2 + 1)*(x^4 + x^3 + x^2 + x + 1)). (End)

Crossrefs

Sequence in context: A314065 A314066 A314067 * A314069 A314070 A314071

Adjacent sequences: A314065 A314066 A314067 * A314069 A314070 A314071

Keyword

nonn

Author

Brian Galebach and N. J. A. Sloane, Jun 18 2018

Status

approved