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A315942 Coordination sequence Gal.6.507.5 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, 8, 18, 18, 22, 36, 34, 34, 54, 44, 50, 72, 62, 60, 90, 70, 78, 108, 90, 86, 126, 96, 106, 144, 118, 112, 162, 122, 134, 180, 146, 138, 198, 148, 162, 216, 174, 164, 234, 174, 190, 252, 202, 190, 270, 200, 218, 288, 230 (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, Jan 09 2020: (Start)

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

G.f.: (x^12 + 6*x^11 + 8*x^10 + 18*x^9 + 18*x^8 + 22*x^7 + 34*x^6 + 22*x^5 + 18*x^4 + 18*x^3 + 8*x^2 + 6*x + 1)/(x^12 - 2*x^6 + 1). (End)

CROSSREFS

Sequence in context: A093479 A239396 A340519 * A315943 A315944 A165720

Adjacent sequences:  A315939 A315940 A315941 * A315943 A315944 A315945

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)