A310502 - OEIS

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

%S 1,4,10,16,20,26,30,36,42,46,50,56,62,66,72,76,82,88,92,96,102,108,

%T 112,118,122,128,134,138,142,148,154,158,164,168,174,180,184,188,194,

%U 200,204,210,214,220,226,230,234,240,246,250

%N Coordination sequence Gal.5.132.1 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_, Jan 24 2020: (Start)

%F a(n) = a(n-1) + a(n-9) - a(n-10) for n > 10.

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

%K nonn

%O 0,2

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