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A310146 Coordination sequence Gal.5.39.2 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, 6, 9, 11, 14, 17, 20, 24, 26, 28, 32, 34, 37, 41, 43, 46, 49, 51, 54, 58, 61, 63, 66, 69, 71, 75, 78, 80, 84, 86, 88, 92, 95, 98, 101, 103, 106, 109, 112, 115, 118, 121, 123, 126, 129, 132, 136, 138, 140 (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-13) - a(n-16) for n > 16.

G.f.: (x^16 + 3*x^15 + 6*x^14 + 8*x^13 + 8*x^12 + 8*x^11 + 8*x^10 + 9*x^9 + 10*x^8 + 9*x^7 + 8*x^6 + 8*x^5 + 8*x^4 + 8*x^3 + 6*x^2 + 3*x + 1)/(x^16 - x^13 - x^3 + 1). (End)

CROSSREFS

Sequence in context: A054414 A136616 A121384 * A265035 A151926 A166265

Adjacent sequences:  A310143 A310144 A310145 * A310147 A310148 A310149

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified August 12 13:59 EDT 2022. Contains 356077 sequences. (Running on oeis4.)