A312950 - OEIS

%I #7 Oct 21 2023 15:10:45

%S 1,4,9,13,18,23,28,33,38,43,47,52,56,60,65,69,74,79,84,89,94,99,103,

%T 108,112,116,121,125,130,135,140,145,150,155,159,164,168,172,177,181,

%U 186,191,196,201,206,211,215,220,224,228

%N Coordination sequence Gal.6.151.2 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_, Feb 14 2020: (Start)

%F a(n) = a(n-1) + a(n-2) - 2*a(n-4) + a(n-6) + a(n-7) - a(n-8) for n > 8.

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

%K nonn

%O 0,2

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