A310089 - OEIS

%I #8 Oct 21 2023 15:10:32

%S 1,3,6,11,13,16,19,22,29,29,32,35,38,47,45,48,51,54,65,61,64,67,70,83,

%T 77,80,83,86,101,93,96,99,102,119,109,112,115,118,137,125,128,131,134,

%U 155,141,144,147,150,173,157

%N Coordination sequence Gal.6.42.3 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_, Dec 10 2018: (Start)

%F a(n) = 2*a(n-5) - a(n-10) for n > 10.

%F G.f.: (x^10 + 3*x^9 + 7*x^8 + 10*x^7 + 13*x^6 + 14*x^5 + 13*x^4 + 11*x^3 + 6*x^2 + 3*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