A310368 Coordination sequence Gal.6.230.6 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, 14, 18, 22, 26, 30, 34, 40, 44, 48, 54, 58, 62, 66, 70, 74, 78, 84, 88, 92, 98, 102, 106, 110, 114, 118, 122, 128, 132, 136, 142, 146, 150, 154, 158, 162, 166, 172, 176, 180, 186, 190, 194, 198, 202, 206, 210, 216

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, Feb 04 2021: (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) - 2*a(n-8) + 2*a(n-9) - a(n-10) for n > 10.

G.f.: (x^10 + 2*x^9 + 4*x^8 + 4*x^6 + 4*x^4 + 4*x^2 + 2*x + 1)/((x - 1)^2*(x^4 - x^3 + x^2 - x + 1)*(x^4 + x^3 + x^2 + x + 1)). (End)

Crossrefs

Sequence in context: A310366 A285965 A310367 * A310369 A310370 A310371

Adjacent sequences: A310365 A310366 A310367 * A310369 A310370 A310371

Keyword

nonn

Author

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

Status

approved