login
A315683
Coordination sequence Gal.6.634.6 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, 12, 17, 22, 27, 32, 37, 42, 47, 52, 58, 64, 70, 76, 81, 86, 91, 96, 101, 106, 111, 116, 122, 128, 134, 140, 145, 150, 155, 160, 165, 170, 175, 180, 186, 192, 198, 204, 209, 214, 219, 224, 229, 234, 239, 244, 250, 256, 262
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, Dec 21 2019: (Start)
a(n) = 2*a(n-1) - a(n-2) - a(n-4) + 2*a(n-5) - a(n-6) - a(n-8) + 2*a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 4*x^9 + x^8 - x^7 + x^6 + 4*x^5 + x^4 - x^3 + x^2 + 4*x + 1)/(x^8*(x - 1)^2 + x^4*(x - 1)^2 + (x - 1)^2). (End)
CROSSREFS
Sequence in context: A315681 A315682 A248149 * A315684 A315685 A315686
KEYWORD
nonn
AUTHOR
STATUS
approved