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A311666
Coordination sequence Gal.4.108.1 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, 13, 14, 21, 28, 30, 38, 35, 40, 45, 52, 60, 64, 63, 62, 71, 76, 84, 94, 89, 90, 93, 102, 108, 118, 119, 116, 121, 124, 134, 142, 143, 146, 147, 152, 156, 168, 167, 170, 177, 178, 184, 190, 193, 194, 201, 208, 210
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 06 2024: (Start)
a(n) = a(n-6) + a(n-7) - a(n-13) for n > 15.
G.f.: (-2*x^15 + 3*x^13 + 3*x^12 + 10*x^11 + 13*x^10 + 14*x^9 + 26*x^8 + 25*x^7 + 27*x^6 + 21*x^5 + 14*x^4 + 13*x^3 + 8*x^2 + 4*x + 1)/(x^13 - x^7 - x^6 + 1). (End)
CROSSREFS
Sequence in context: A237519 A311665 A032474 * A222304 A311667 A311668
KEYWORD
nonn
AUTHOR
STATUS
approved