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A315327
Coordination sequence Gal.6.329.6 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, 10, 16, 22, 26, 30, 36, 42, 46, 52, 58, 62, 68, 74, 78, 82, 88, 94, 98, 104, 110, 114, 120, 126, 130, 134, 140, 146, 150, 156, 162, 166, 172, 178, 182, 186, 192, 198, 202, 208, 214, 218, 224, 230, 234, 238, 244, 250, 254
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, Oct 19 2020: (Start)
a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - 2*a(n-6) + 2*a(n-7) - 2*a(n-8) + 2*a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 4*x^9 + 6*x^7 + 4*x^5 + 6*x^3 + 4*x + 1)/((x - 1)^2*(x^4 - x^3 + x^2 - x + 1)*(x^4 + x^3 + x^2 + x + 1)). (End)
CROSSREFS
Sequence in context: A315324 A315325 A315326 * A315328 A315329 A301694
KEYWORD
nonn
AUTHOR
STATUS
approved