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A315447
Coordination sequence Gal.5.112.4 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, 20, 24, 29, 34, 40, 46, 51, 56, 60, 64, 69, 74, 80, 86, 91, 96, 100, 104, 109, 114, 120, 126, 131, 136, 140, 144, 149, 154, 160, 166, 171, 176, 180, 184, 189, 194, 200, 206, 211, 216, 220, 224, 229, 234, 240, 246
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, Aug 01 2020: (Start)
a(n) = 2*a(n-1) - a(n-2) - a(n-4) + 2*a(n-5) - a(n-6) for n > 6.
G.f.: (x^6 + 4*x^5 + 4*x + 1)/((x - 1)^2*(x^4 + 1)). (End)
CROSSREFS
Sequence in context: A315444 A315445 A315446 * A315448 A315449 A118659
KEYWORD
nonn
AUTHOR
STATUS
approved