A315640 Coordination sequence Gal.6.556.5 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, 12, 16, 21, 25, 32, 38, 44, 49, 53, 58, 62, 70, 76, 82, 86, 90, 95, 99, 108, 114, 120, 123, 127, 132, 136, 146, 152, 158, 160, 164, 169, 173, 184, 190, 196, 197, 201, 206, 210, 222, 228, 234, 234, 238, 243, 247, 260, 266

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, Mar 12 2021: (Start)

a(n) = 2*a(n-7) - a(n-14) for n > 14.

G.f.: (x^14 + 6*x^13 + 12*x^12 + 16*x^11 + 21*x^10 + 25*x^9 + 32*x^8 + 36*x^7 + 32*x^6 + 25*x^5 + 21*x^4 + 16*x^3 + 12*x^2 + 6*x + 1)/(x^14 - 2*x^7 + 1). (End)

Crossrefs

Sequence in context: A106504 A114061 A364150 * A315641 A315642 A315643

Adjacent sequences: A315637 A315638 A315639 * A315641 A315642 A315643

Keyword

nonn

Author

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

Status

approved