A310458 - OEIS

%I #11 Jun 04 2024 12:11:57

%S 1,4,10,15,20,25,30,36,40,44,50,55,60,65,70,76,80,84,90,95,100,105,

%T 110,116,120,124,130,135,140,145,150,156,160,164,170,175,180,185,190,

%U 196,200,204,210,215,220,225,230,236,240,244

%N Coordination sequence Gal.4.78.1 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_, Jun 03 2024: (Start)

%F a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - 2*a(n-6) + 2*a(n-7) - a(n-8) for n > 8.

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

%K nonn

%O 0,2

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