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A315950 Coordination sequence Gal.3.47.3 where G.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. 0
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: A121899 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

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Last modified November 29 01:40 EST 2021. Contains 349416 sequences. (Running on oeis4.)