A310648 - OEIS

%I #6 Oct 21 2023 15:10:34

%S 1,4,6,14,20,20,28,28,36,42,42,50,50,58,64,64,72,72,80,86,86,94,94,

%T 102,108,108,116,116,124,130,130,138,138,146,152,152,160,160,168,174,

%U 174,182,182,190,196,196,204,204,212,218

%N Coordination sequence Gal.5.253.2 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) = a(n-1) + a(n-5) - a(n-6) for n > 7.

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

%K nonn

%O 0,2

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