A315950 - OEIS

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A315950

Coordination sequence Gal.3.47.3 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, 6, 9, 11, 14, 19, 26, 31, 32, 33, 37, 44, 52, 56, 55, 55, 60, 69, 78, 81, 78, 77, 83, 94, 104, 106, 101, 99, 106, 119, 130, 131, 124, 121, 129, 144, 156, 156, 147, 143, 152, 169, 182, 181, 170, 165, 175, 194, 208, 206

(list; graph; refs; listen; history; text; internal format)

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 03 2020: (Start)

a(n) = 3*a(n-1) - 5*a(n-2) + 6*a(n-3) - 6*a(n-4) + 6*a(n-5) - 5*a(n-6) + 3*a(n-7) - a(n-8) for n > 8.

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

CROSSREFS

Sequence in context: A357324 A276419 A184104 * A026614 A202137 A302580

Adjacent sequences: A315947 A315948 A315949 * A315951 A315952 A315953

KEYWORD

nonn

AUTHOR

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

STATUS

approved