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A315913
Coordination sequence Gal.6.599.4 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, 8, 14, 20, 26, 32, 38, 36, 54, 48, 62, 58, 74, 68, 86, 72, 102, 84, 110, 94, 122, 104, 134, 108, 150, 120, 158, 130, 170, 140, 182, 144, 198, 156, 206, 166, 218, 176, 230, 180, 246, 192, 254, 202, 266, 212, 278, 216, 294
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, Apr 13 2024: (Start)
a(n) = a(n-2) + a(n-8) - a(n-10) for n > 14.
G.f.: (-2*x^14 - 2*x^12 + 5*x^10 + 10*x^9 + 3*x^8 + 12*x^7 + 12*x^6 + 12*x^5 + 12*x^4 + 8*x^3 + 7*x^2 + 6*x + 1)/(x^10 - x^8 - x^2 + 1). (End)
CROSSREFS
Sequence in context: A315910 A315911 A315912 * A108935 A315914 A315915
KEYWORD
nonn
AUTHOR
STATUS
approved