A314994 - OEIS

%I #7 Oct 21 2023 15:11:04

%S 1,5,9,15,16,24,27,34,37,44,44,52,55,62,65,72,72,80,83,90,93,100,100,

%T 108,111,118,121,128,128,136,139,146,149,156,156,164,167,174,177,184,

%U 184,192,195,202,205,212,212,220,223,230

%N Coordination sequence Gal.6.547.4 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_, Jan 27 2020: (Start)

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

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

%K nonn

%O 0,2

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