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A312938
Coordination sequence Gal.5.127.2 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, 4, 9, 13, 18, 23, 26, 32, 37, 39, 45, 50, 52, 59, 64, 65, 73, 78, 78, 86, 91, 91, 100, 105, 104, 114, 119, 117, 127, 132, 130, 141, 146, 143, 155, 160, 156, 168, 173, 169, 182, 187, 182, 196, 201, 195, 209, 214, 208, 223
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, Feb 14 2020: (Start)
a(n) = a(n-3) + a(n-9) - a(n-12) for n > 12.
G.f.: (x^12 + 4*x^11 + 9*x^10 + 12*x^9 + 14*x^8 + 14*x^7 + 13*x^6 + 14*x^5 + 14*x^4 + 12*x^3 + 9*x^2 + 4*x + 1)/(x^12 - x^9 - x^3 + 1). (End)
CROSSREFS
Sequence in context: A312935 A312936 A312937 * A312939 A312940 A312941
KEYWORD
nonn
AUTHOR
STATUS
approved