A315869 Coordination sequence Gal.5.247.5 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, 8, 12, 20, 24, 26, 32, 40, 38, 50, 48, 60, 56, 66, 72, 72, 78, 86, 88, 92, 96, 106, 104, 112, 114, 126, 120, 132, 136, 138, 144, 148, 154, 158, 160, 172, 168, 178, 180, 188, 186, 198, 200, 204, 208, 214, 220, 220, 226

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 20 2026: (Start)

a(n) = a(n-7) + a(n-8) - a(n-15) for n > 17.

G.f.: (-2*x^17 + x^15 + 8*x^14 + 6*x^13 + 16*x^12 + 16*x^11 + 30*x^10 + 24*x^9 + 33*x^8 + 31*x^7 + 26*x^6 + 24*x^5 + 20*x^4 + 12*x^3 + 8*x^2 + 6*x + 1)/(x^15 - x^8 - x^7 + 1). (End)

Crossrefs

Sequence in context: A062533 A315867 A315868 * A315870 A212350 A077670

Adjacent sequences: A315866 A315867 A315868 * A315870 A315871 A315872

Keyword

nonn

Author

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

Status

approved