A311002 - OEIS

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

%S 1,4,8,10,16,18,24,26,28,36,36,44,44,46,56,54,64,62,64,76,72,84,80,82,

%T 96,90,104,98,100,116,108,124,116,118,136,126,144,134,136,156,144,164,

%U 152,154,176,162,184,170,172,196

%N Coordination sequence Gal.3.3.2 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) = 2*a(n-5) - a(n-10) for n > 10.

%F G.f.: (x^10 + 4*x^9 + 8*x^8 + 10*x^7 + 16*x^6 + 16*x^5 + 16*x^4 + 10*x^3 + 8*x^2 + 4*x + 1)/(x^10 - 2*x^5 + 1). (End)

%K nonn

%O 0,2

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