A312556 - OEIS

%I #7 May 08 2024 02:28:31

%S 1,4,8,14,18,24,28,34,38,44,48,52,56,60,66,70,76,80,86,90,96,100,104,

%T 108,112,118,122,128,132,138,142,148,152,156,160,164,170,174,180,184,

%U 190,194,200,204,208,212,216,222,226,232

%N Coordination sequence Gal.6.246.1 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_, May 07 2024: (Start)

%F a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.

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

%K nonn

%O 0,2

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