A311993 - OEIS

%I #6 Oct 21 2023 15:10:37

%S 1,4,8,13,17,23,27,32,36,40,44,48,53,57,63,67,72,76,80,84,88,93,97,

%T 103,107,112,116,120,124,128,133,137,143,147,152,156,160,164,168,173,

%U 177,183,187,192,196,200,204,208,213,217

%N Coordination sequence Gal.5.98.2 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_, Jan 14 2021: (Start)

%F a(n) = a(n-1) + a(n-9) - a(n-10) for n > 10.

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

%K nonn

%O 0,2

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