login

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

Coordination sequence Gal.5.207.4 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.
0

%I #6 Oct 21 2023 15:11:11

%S 1,6,7,11,14,20,26,25,29,34,40,46,43,47,54,60,66,61,65,74,80,86,79,83,

%T 94,100,106,97,101,114,120,126,115,119,134,140,146,133,137,154,160,

%U 166,151,155,174,180,186,169,173,194

%N Coordination sequence Gal.5.207.4 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 10 2020: (Start)

%F a(n) = 2*a(n-5) - a(n-10) for n > 10.

%F G.f.: (x^10 + 6*x^9 + 7*x^8 + 11*x^7 + 14*x^6 + 18*x^5 + 14*x^4 + 11*x^3 + 7*x^2 + 6*x + 1)/(x^10 - 2*x^5 + 1). (End)

%K nonn

%O 0,2

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