A310556 Coordination sequence Gal.5.279.1 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, 10, 18, 22, 30, 28, 38, 46, 50, 58, 62, 58, 70, 82, 82, 94, 94, 88, 102, 118, 114, 130, 126, 118, 134, 154, 146, 166, 158, 148, 166, 190, 178, 202, 190, 178, 198, 226, 210, 238, 222, 208, 230, 262, 242, 274, 254, 238, 262

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, Aug 18 2020: (Start)

a(n) = 2*a(n-6) - a(n-12) for n > 13.

G.f.: (-2*x^13 + 3*x^12 + 2*x^11 + 14*x^10 + 14*x^9 + 26*x^8 + 30*x^7 + 26*x^6 + 30*x^5 + 22*x^4 + 18*x^3 + 10*x^2 + 4*x + 1)/(x^12 - 2*x^6 + 1). (End)

Crossrefs

Sequence in context: A310553 A310554 A310555 * A310557 A079287 A113804

Adjacent sequences: A310553 A310554 A310555 * A310557 A310558 A310559

Keyword

nonn

Author

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

Status

approved