A310744 Coordination sequence Gal.4.11.2 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, 4, 7, 11, 16, 18, 23, 27, 29, 34, 39, 40, 46, 50, 51, 57, 62, 62, 69, 73, 73, 80, 85, 84, 92, 96, 95, 103, 108, 106, 115, 119, 117, 126, 131, 128, 138, 142, 139, 149, 154, 150, 161, 165, 161, 172, 177, 172, 184, 188

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, Dec 15 2022: (Start)

a(n) = a(n-3) + a(n-6) - a(n-9) for n > 9.

G.f.: (x^9 + 4*x^8 + 7*x^7 + 11*x^6 + 11*x^5 + 12*x^4 + 10*x^3 + 7*x^2 + 4*x + 1)/(x^9 - x^6 - x^3 + 1). (End)

Crossrefs

Sequence in context: A356774 A310742 A310743 * A337288 A310745 A310746

Adjacent sequences: A310741 A310742 A310743 * A310745 A310746 A310747

Keyword

nonn

Author

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

Status

approved