A311666 Coordination sequence Gal.4.108.1 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, 8, 13, 14, 21, 28, 30, 38, 35, 40, 45, 52, 60, 64, 63, 62, 71, 76, 84, 94, 89, 90, 93, 102, 108, 118, 119, 116, 121, 124, 134, 142, 143, 146, 147, 152, 156, 168, 167, 170, 177, 178, 184, 190, 193, 194, 201, 208, 210

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 06 2024: (Start)

a(n) = a(n-6) + a(n-7) - a(n-13) for n > 15.

G.f.: (-2*x^15 + 3*x^13 + 3*x^12 + 10*x^11 + 13*x^10 + 14*x^9 + 26*x^8 + 25*x^7 + 27*x^6 + 21*x^5 + 14*x^4 + 13*x^3 + 8*x^2 + 4*x + 1)/(x^13 - x^7 - x^6 + 1). (End)

Crossrefs

Sequence in context: A237519 A311665 A032474 * A222304 A311667 A311668

Adjacent sequences: A311663 A311664 A311665 * A311667 A311668 A311669

Keyword

nonn

Author

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

Status

approved