login
A310999
Coordination sequence Gal.4.7.3 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, 10, 15, 20, 23, 30, 32, 34, 40, 44, 50, 52, 55, 60, 63, 70, 72, 74, 80, 84, 90, 92, 95, 100, 103, 110, 112, 114, 120, 124, 130, 132, 135, 140, 143, 150, 152, 154, 160, 164, 170, 172, 175, 180, 183, 190, 192, 194
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 24 2019: (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 > 13.
G.f.: (-2*x^13 + 2*x^12 + x^10 + 4*x^9 - 2*x^8 + 4*x^7 + 3*x^6 + 5*x^4 + 2*x^2 + 2*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: A153975 A334834 A020169 * A311000 A302338 A311001
KEYWORD
nonn
AUTHOR
STATUS
approved