A311101 - OEIS

%I #6 Oct 21 2023 15:10:35

%S 1,4,8,12,15,19,23,28,33,37,40,43,47,52,57,61,64,67,71,76,81,85,88,91,

%T 95,100,105,109,112,115,119,124,129,133,136,139,143,148,153,157,160,

%U 163,167,172,177,181,184,187,191,196

%N Coordination sequence Gal.3.47.1 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_, Dec 24 2019: (Start)

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

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

%K nonn

%O 0,2

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