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A314287 Coordination sequence Gal.6.654.1 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, 5, 12, 17, 24, 27, 32, 37, 46, 51, 54, 61, 68, 75, 76, 81, 88, 97, 100, 103, 112, 119, 124, 125, 132, 139, 146, 149, 154, 163, 168, 173, 176, 183, 188, 195, 200, 205, 212, 217, 224, 227, 232, 237, 246, 251, 254, 261, 268, 275 (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, Jul 28 2020: (Start)

a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-9) - a(n-10) + a(n-11) - a(n-12) for n > 12.

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

CROSSREFS

Sequence in context: A314285 A089988 A314286 * A135459 A214067 A290494

Adjacent sequences:  A314284 A314285 A314286 * A314288 A314289 A314290

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified June 22 21:29 EDT 2021. Contains 345393 sequences. (Running on oeis4.)