A312484 Coordination sequence Gal.5.81.5 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, 4, 8, 14, 18, 22, 26, 32, 36, 40, 44, 48, 54, 58, 62, 66, 72, 76, 80, 84, 88, 94, 98, 102, 106, 112, 116, 120, 124, 128, 134, 138, 142, 146, 152, 156, 160, 164, 168, 174, 178, 182, 186, 192, 196, 200, 204, 208, 214, 218

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, Jan 26 2021: (Start)

a(n) = a(n-1) + a(n-9) - a(n-10) for n > 10.

G.f.: (x^10 + 3*x^9 + 4*x^8 + 6*x^7 + 4*x^6 + 4*x^5 + 4*x^4 + 6*x^3 + 4*x^2 + 3*x + 1)/(x^10 - x^9 - x + 1). (End)

Crossrefs

Sequence in context: A312481 A312482 A312483 * A312485 A312486 A312487

Adjacent sequences: A312481 A312482 A312483 * A312485 A312486 A312487

Keyword

nonn

Author

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

Status

approved