A315913 - OEIS

%I #7 Apr 14 2024 02:44:54

%S 1,6,8,14,20,26,32,38,36,54,48,62,58,74,68,86,72,102,84,110,94,122,

%T 104,134,108,150,120,158,130,170,140,182,144,198,156,206,166,218,176,

%U 230,180,246,192,254,202,266,212,278,216,294

%N Coordination sequence Gal.6.599.4 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_, Apr 13 2024: (Start)

%F a(n) = a(n-2) + a(n-8) - a(n-10) for n > 14.

%F G.f.: (-2*x^14 - 2*x^12 + 5*x^10 + 10*x^9 + 3*x^8 + 12*x^7 + 12*x^6 + 12*x^5 + 12*x^4 + 8*x^3 + 7*x^2 + 6*x + 1)/(x^10 - x^8 - x^2 + 1). (End)

%K nonn

%O 0,2

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