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A315469
Coordination sequence Gal.4.134.4 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, 11, 16, 21, 26, 31, 36, 42, 48, 53, 58, 63, 68, 73, 78, 84, 90, 95, 100, 105, 110, 115, 120, 126, 132, 137, 142, 147, 152, 157, 162, 168, 174, 179, 184, 189, 194, 199, 204, 210, 216, 221, 226, 231, 236, 241, 246, 252, 258
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.
FORMULA
Conjectures from Chai Wah Wu, Jun 20 2020: (Start)
a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - 2*a(n-6) + 2*a(n-7) - a(n-8) for n > 8.
G.f.: (x^8 + 4*x^7 + x^6 + 4*x^5 + x^4 + 4*x^3 + x^2 + 4*x + 1)/((x - 1)^2*(x^2 + 1)*(x^4 + 1)). (End)
CROSSREFS
Sequence in context: A315467 A315468 A242594 * A315470 A184487 A315471
KEYWORD
nonn
AUTHOR
STATUS
approved