A314228 - OEIS

%I #7 Oct 21 2023 15:10:57

%S 1,5,11,17,23,27,31,38,45,51,55,59,65,71,78,83,87,93,99,105,109,114,

%T 121,127,133,137,141,147,154,161,165,169,175,181,187,192,197,203,209,

%U 215,219,223,230,237,243,247,251,257,263,270

%N Coordination sequence Gal.6.650.3 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_, Jan 20 2022: (Start)

%F a(n) = a(n-5) + a(n-7) - a(n-12) for n > 12.

%F G.f.: (x + 1)^4*(x^2 + 1)^2*(x^4 + x^3 - x^2 + x + 1)/(x^12 - x^7 - x^5 + 1). (End)

%K nonn

%O 0,2

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