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A311553
Coordination sequence Gal.6.133.1 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, 8, 12, 17, 23, 29, 35, 40, 44, 48, 52, 56, 60, 64, 69, 75, 81, 87, 92, 96, 100, 104, 108, 112, 116, 121, 127, 133, 139, 144, 148, 152, 156, 160, 164, 168, 173, 179, 185, 191, 196, 200, 204, 208, 212, 216, 220, 225, 231
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, Jan 24 2020: (Start)
a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.
G.f.: (x^12 + 3*x^11 + 4*x^10 + 4*x^9 + 5*x^8 + 6*x^7 + 6*x^6 + 6*x^5 + 5*x^4 + 4*x^3 + 4*x^2 + 3*x + 1)/(x^12 - x^11 - x + 1). (End)
CROSSREFS
Sequence in context: A311550 A311551 A311552 * A311554 A340266 A194274
KEYWORD
nonn
AUTHOR
STATUS
approved