A315492 Coordination sequence Gal.6.625.2 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, 6, 11, 16, 22, 28, 32, 38, 44, 49, 54, 60, 66, 71, 76, 82, 88, 92, 98, 104, 109, 114, 120, 126, 131, 136, 142, 148, 152, 158, 164, 169, 174, 180, 186, 191, 196, 202, 208, 212, 218, 224, 229, 234, 240, 246, 251, 256, 262, 268

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, Jan 02 2020: (Start)

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

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

Crossrefs

Sequence in context: A315489 A315490 A315491 * A301708 A315493 A315494

Adjacent sequences: A315489 A315490 A315491 * A315493 A315494 A315495

Keyword

nonn

Author

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

Status

approved