login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Coordination sequence Gal.4.16.3 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.
0

%I #6 Oct 21 2023 15:10:35

%S 1,4,8,10,14,16,23,24,31,32,34,38,40,50,48,58,56,58,62,64,77,72,85,80,

%T 82,86,88,104,96,112,104,106,110,112,131,120,139,128,130,134,136,158,

%U 144,166,152,154,158,160,185,168

%N Coordination sequence Gal.4.16.3 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_, Dec 24 2019: (Start)

%F a(n) = 2*a(n-7) - a(n-14) for n > 14.

%F G.f.: (x^14 + 4*x^13 + 8*x^12 + 10*x^11 + 14*x^10 + 16*x^9 + 23*x^8 + 22*x^7 + 23*x^6 + 16*x^5 + 14*x^4 + 10*x^3 + 8*x^2 + 4*x + 1)/(x^14 - 2*x^7 + 1). (End)

%K nonn

%O 0,2

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