A315563 Coordination sequence Gal.5.320.2 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, 18, 23, 28, 36, 40, 45, 54, 57, 62, 72, 74, 79, 90, 91, 96, 108, 108, 113, 126, 125, 130, 144, 142, 147, 162, 159, 164, 180, 176, 181, 198, 193, 198, 216, 210, 215, 234, 227, 232, 252, 244, 249, 270, 261, 266, 288, 278

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 11 2020: (Start)

a(n) = 2*a(n-3) - a(n-6) for n > 6.

G.f.: (x^6 + 6*x^5 + 11*x^4 + 16*x^3 + 11*x^2 + 6*x + 1)/(x^6 - 2*x^3 + 1). (End)

Crossrefs

Sequence in context: A315560 A315561 A315562 * A276879 A255654 A315564

Adjacent sequences: A315560 A315561 A315562 * A315564 A315565 A315566

Keyword

nonn

Author

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

Status

approved