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A315687 Coordination sequence Gal.6.210.4 where Gal.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, 12, 17, 22, 27, 33, 39, 44, 49, 54, 60, 66, 72, 78, 83, 88, 93, 99, 105, 110, 115, 120, 126, 132, 138, 144, 149, 154, 159, 165, 171, 176, 181, 186, 192, 198, 204, 210, 215, 220, 225, 231, 237, 242, 247, 252, 258, 264, 270 (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
FORMULA
Conjectures from Chai Wah Wu, Jan 25 2020: (Start)
a(n) = 3*a(n-1) - 4*a(n-2) + 3*a(n-3) - a(n-4) - a(n-6) + 3*a(n-7) - 4*a(n-8) + 3*a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 3*x^9 - 2*x^8 + 2*x^7 + 2*x^6 - x^5 + 2*x^4 + 2*x^3 - 2*x^2 + 3*x + 1)/((x - 1)^2*(x^2 + 1)*(x^2 - x + 1)*(x^4 - x^2 + 1)). (End)
CROSSREFS
Sequence in context: A315684 A315685 A315686 * A315688 A212449 A315689
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 28 13:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)