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A310556
Coordination sequence Gal.5.279.1 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, 4, 10, 18, 22, 30, 28, 38, 46, 50, 58, 62, 58, 70, 82, 82, 94, 94, 88, 102, 118, 114, 130, 126, 118, 134, 154, 146, 166, 158, 148, 166, 190, 178, 202, 190, 178, 198, 226, 210, 238, 222, 208, 230, 262, 242, 274, 254, 238, 262
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 18 2020: (Start)
a(n) = 2*a(n-6) - a(n-12) for n > 13.
G.f.: (-2*x^13 + 3*x^12 + 2*x^11 + 14*x^10 + 14*x^9 + 26*x^8 + 30*x^7 + 26*x^6 + 30*x^5 + 22*x^4 + 18*x^3 + 10*x^2 + 4*x + 1)/(x^12 - 2*x^6 + 1). (End)
CROSSREFS
Sequence in context: A310553 A310554 A310555 * A310557 A079287 A113804
KEYWORD
nonn
AUTHOR
STATUS
approved