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A310185 Coordination sequence Gal.4.15.2 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, 3, 7, 10, 13, 19, 20, 23, 29, 30, 33, 41, 40, 43, 51, 50, 53, 63, 60, 63, 73, 70, 73, 85, 80, 83, 95, 90, 93, 107, 100, 103, 117, 110, 113, 129, 120, 123, 139, 130, 133, 151, 140, 143, 161, 150, 153, 173, 160, 163 (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, Dec 24 2019: (Start)

a(n) = a(n-3) + a(n-6) - a(n-9) for n > 9.

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

CROSSREFS

Sequence in context: A298786 A285359 A255607 * A339620 A319241 A310186

Adjacent sequences:  A310182 A310183 A310184 * A310186 A310187 A310188

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified October 23 04:06 EDT 2021. Contains 348211 sequences. (Running on oeis4.)