A310458 Coordination sequence Gal.4.78.1 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, 4, 10, 15, 20, 25, 30, 36, 40, 44, 50, 55, 60, 65, 70, 76, 80, 84, 90, 95, 100, 105, 110, 116, 120, 124, 130, 135, 140, 145, 150, 156, 160, 164, 170, 175, 180, 185, 190, 196, 200, 204, 210, 215, 220, 225, 230, 236, 240, 244

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, Jun 03 2024: (Start)

a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - 2*a(n-6) + 2*a(n-7) - a(n-8) for n > 8.

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

Crossrefs

Sequence in context: A310456 A063295 A310457 * A310459 A310460 A310461

Adjacent sequences: A310455 A310456 A310457 * A310459 A310460 A310461

Keyword

nonn

Author

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

Status

approved