A312980 Coordination sequence Gal.6.248.2 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, 9, 13, 19, 24, 30, 35, 41, 45, 50, 54, 58, 63, 67, 73, 78, 84, 89, 95, 99, 104, 108, 112, 117, 121, 127, 132, 138, 143, 149, 153, 158, 162, 166, 171, 175, 181, 186, 192, 197, 203, 207, 212, 216, 220, 225, 229, 235, 240

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, May 01 2024: (Start)

a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.

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

Crossrefs

Sequence in context: A312977 A312978 A312979 * A035104 A141224 A064423

Adjacent sequences: A312977 A312978 A312979 * A312981 A312982 A312983

Keyword

nonn

Author

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

Status

approved