A315549 - OEIS

%I #6 Oct 21 2023 15:11:10

%S 1,6,11,17,23,29,35,41,47,53,59,64,70,76,81,87,93,99,105,111,117,123,

%T 129,134,140,146,151,157,163,169,175,181,187,193,199,204,210,216,221,

%U 227,233,239,245,251,257,263,269,274,280,286

%N Coordination sequence Gal.6.628.2 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_, Jun 11 2020: (Start)

%F a(n) = a(n-1) + a(n-3) - a(n-4) - a(n-6) + a(n-7) + a(n-9) - a(n-10) for n > 10.

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

%K nonn

%O 0,2

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