A311647 - OEIS

%I #6 Oct 21 2023 15:10:36

%S 1,4,8,12,19,22,25,32,35,39,45,48,52,58,62,65,71,75,78,85,88,91,98,

%T 101,105,111,114,118,124,128,131,137,141,144,151,154,157,164,167,171,

%U 177,180,184,190,194,197,203,207,210,217

%N Coordination sequence Gal.4.85.1 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_, Mar 09 2023: (Start)

%F a(n) = a(n-3) + a(n-5) - a(n-8) for n > 10.

%F G.f.: (-x^10 - x^9 + 2*x^8 + 5*x^7 + 9*x^6 + 13*x^5 + 15*x^4 + 11*x^3 + 8*x^2 + 4*x + 1)/(x^8 - x^5 - x^3 + 1). (End)

%K nonn

%O 0,2

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