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A315817
Coordination sequence Gal.4.111.3 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, 12, 30, 24, 30, 42, 30, 60, 42, 54, 66, 48, 90, 60, 78, 90, 66, 120, 78, 102, 114, 84, 150, 96, 126, 138, 102, 180, 114, 150, 162, 120, 210, 132, 174, 186, 138, 240, 150, 198, 210, 156, 270, 168, 222, 234, 174
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, Dec 28 2021: (Start)
a(n) = 2*a(n-5) - a(n-10) for n > 10.
G.f.: (x^10 + 6*x^9 + 6*x^8 + 18*x^7 + 12*x^6 + 28*x^5 + 12*x^4 + 18*x^3 + 6*x^2 + 6*x + 1)/(x^10 - 2*x^5 + 1). (End)
CROSSREFS
Sequence in context: A315815 A298026 A315816 * A325696 A337018 A315818
KEYWORD
nonn
AUTHOR
STATUS
approved