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A315690
Coordination sequence Gal.5.135.4 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, 17, 22, 28, 33, 38, 44, 50, 56, 62, 67, 72, 78, 83, 88, 94, 100, 106, 112, 117, 122, 128, 133, 138, 144, 150, 156, 162, 167, 172, 178, 183, 188, 194, 200, 206, 212, 217, 222, 228, 233, 238, 244, 250, 256, 262, 267, 272
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 25 2020: (Start)
a(n) = a(n-1) + a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 5*x^9 + 6*x^8 + 5*x^7 + 5*x^6 + 6*x^5 + 5*x^4 + 5*x^3 + 6*x^2 + 5*x + 1)/(x^10 - x^9 - x + 1). (End)
CROSSREFS
Sequence in context: A315688 A212449 A315689 * A315691 A315692 A315693
KEYWORD
nonn
AUTHOR
STATUS
approved