A313124 - OEIS

%I #7 Nov 20 2025 03:44:53

%S 1,4,9,14,19,25,29,35,40,45,50,54,58,63,68,73,79,83,89,94,99,104,108,

%T 112,117,122,127,133,137,143,148,153,158,162,166,171,176,181,187,191,

%U 197,202,207,212,216,220,225,230,235,241

%N Coordination sequence Gal.6.250.2 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_, Nov 19 2025: (Start)

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

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