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A315598
Coordination sequence Gal.3.57.3 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, 12, 12, 24, 30, 36, 36, 42, 54, 54, 60, 66, 78, 78, 78, 90, 96, 102, 102, 114, 120, 120, 126, 132, 144, 144, 150, 156, 162, 168, 168, 180, 186, 192, 192, 198, 210, 210, 216, 222, 234, 234, 234, 246, 252, 258, 258, 270, 276
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, Jun 11 2020: (Start)
a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-7) - a(n-8) + a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 5*x^9 + 7*x^8 + 5*x^7 + 18*x^6 + 6*x^5 + 18*x^4 + 5*x^3 + 7*x^2 + 5*x + 1)/(x^10 - x^9 + x^8 - x^7 - x^3 + x^2 - x + 1). (End)
CROSSREFS
Sequence in context: A315596 A070149 A315597 * A224301 A181798 A323332
KEYWORD
nonn
AUTHOR
STATUS
approved