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A315823
Coordination sequence Gal.6.507.3 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, 6, 18, 24, 18, 36, 30, 36, 54, 54, 42, 72, 54, 66, 90, 84, 66, 108, 78, 96, 126, 114, 90, 144, 102, 126, 162, 144, 114, 180, 126, 156, 198, 174, 138, 216, 150, 186, 234, 204, 162, 252, 174, 216, 270, 234, 186, 288, 198
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, Apr 01 2023: (Start)
a(n) = 2*a(n-6) - a(n-12) for n > 12.
G.f.: (x^12 + 6*x^11 + 6*x^10 + 18*x^9 + 24*x^8 + 18*x^7 + 34*x^6 + 18*x^5 + 24*x^4 + 18*x^3 + 6*x^2 + 6*x + 1)/(x^12 - 2*x^6 + 1). (End)
CROSSREFS
Sequence in context: A315820 A315821 A315822 * A315824 A315825 A328528
KEYWORD
nonn
AUTHOR
STATUS
approved