A315227 - OEIS

%I #6 Oct 21 2023 15:11:07

%S 1,6,10,14,22,20,30,36,42,40,50,58,50,66,72,78,70,86,94,80,102,108,

%T 114,100,122,130,110,138,144,150,130,158,166,140,174,180,186,160,194,

%U 202,170,210,216,222,190,230,238,200,246,252

%N Coordination sequence Gal.5.169.5 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_, Jul 27 2022: (Start)

%F a(n) = 2*a(n-7) - a(n-14) for n > 14.

%F G.f.: (x^14 + 6*x^13 + 10*x^12 + 14*x^11 + 22*x^10 + 20*x^9 + 30*x^8 + 34*x^7 + 30*x^6 + 20*x^5 + 22*x^4 + 14*x^3 + 10*x^2 + 6*x + 1)/(x^14 - 2*x^7 + 1). (End)

%K nonn

%O 0,2

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