A315447 - OEIS

%I #6 Oct 21 2023 15:11:09

%S 1,6,11,16,20,24,29,34,40,46,51,56,60,64,69,74,80,86,91,96,100,104,

%T 109,114,120,126,131,136,140,144,149,154,160,166,171,176,180,184,189,

%U 194,200,206,211,216,220,224,229,234,240,246

%N Coordination sequence Gal.5.112.4 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_, Aug 01 2020: (Start)

%F a(n) = 2*a(n-1) - a(n-2) - a(n-4) + 2*a(n-5) - a(n-6) for n > 6.

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

%K nonn

%O 0,2

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