%I #7 Oct 21 2023 15:11:11

%S 1,6,9,11,14,19,26,31,32,33,37,44,52,56,55,55,60,69,78,81,78,77,83,94,

%T 104,106,101,99,106,119,130,131,124,121,129,144,156,156,147,143,152,

%U 169,182,181,170,165,175,194,208,206

%N Coordination sequence Gal.3.47.3 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.

%C 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.

%H Brian Galebach, <a href="/A250120/a250120.html">k-uniform tilings (k <= 6) and their A-numbers</a>

%F Conjectures from _Chai Wah Wu_, Aug 03 2020: (Start)

%F a(n) = 3*a(n-1) - 5*a(n-2) + 6*a(n-3) - 6*a(n-4) + 6*a(n-5) - 5*a(n-6) + 3*a(n-7) - a(n-8) for n > 8.

%F G.f.: (x^8 + 3*x^7 - 4*x^6 + 8*x^5 - 4*x^4 + 8*x^3 - 4*x^2 + 3*x + 1)/((x - 1)^2*(x^2 - x + 1)^2*(x^2 + x + 1)). (End)

%K nonn

%O 0,2

%A _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018