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A310215
Coordination sequence Gal.3.2.1 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, 3, 7, 12, 14, 17, 22, 27, 28, 31, 37, 42, 42, 45, 52, 57, 56, 59, 67, 72, 70, 73, 82, 87, 84, 87, 97, 102, 98, 101, 112, 117, 112, 115, 127, 132, 126, 129, 142, 147, 140, 143, 157, 162, 154, 157, 172, 177, 168, 171
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, Sep 24 2020: (Start)
a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-4) - a(n-5) + a(n-6) - a(n-7) for n > 7.
G.f.: (x^7 + 2*x^6 + 6*x^5 + 5*x^4 + 7*x^3 + 5*x^2 + 2*x + 1)/((x - 1)^2*(x + 1)*(x^2 + 1)^2). (End)
CROSSREFS
Sequence in context: A270122 A142958 A310214 * A310216 A310217 A187481
KEYWORD
nonn
AUTHOR
STATUS
approved