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A312289

Coordination sequence Gal.6.527.3 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, 16, 22, 26, 30, 34, 38, 44, 46, 52, 56, 60, 64, 68, 74, 76, 82, 86, 90, 94, 98, 104, 106, 112, 116, 120, 124, 128, 134, 136, 142, 146, 150, 154, 158, 164, 166, 172, 176, 180, 184, 188, 194, 196, 202, 206, 210

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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, Apr 19 2024: (Start)

a(n) = a(n-1) + a(n-7) - a(n-8) for n > 8.

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

CROSSREFS

Sequence in context: A312286 A312287 A312288 * A312290 A312291 A312292

Adjacent sequences: A312286 A312287 A312288 * A312290 A312291 A312292

KEYWORD

nonn

AUTHOR

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

STATUS

approved

URL: https://oeis.org/A312289

⇱ A312289 - OEIS