A315633 - OEIS

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

%S 1,6,12,16,20,24,30,34,38,42,48,54,60,66,70,74,78,84,88,92,96,102,108,

%T 114,120,124,128,132,138,142,146,150,156,162,168,174,178,182,186,192,

%U 196,200,204,210,216,222,228,232,236,240

%N Coordination sequence Gal.6.261.6 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_, Jan 13 2023: (Start)

%F a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.

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

%K nonn

%O 0,2

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