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A310512 Coordination sequence Gal.6.352.1 where G.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

%S 1,4,10,16,21,26,31,36,42,48,52,56,62,68,73,78,83,88,94,100,104,108,

%T 114,120,125,130,135,140,146,152,156,160,166,172,177,182,187,192,198,

%U 204,208,212,218,224,229,234,239,244,250,256

%N Coordination sequence Gal.6.352.1 where G.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) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - 2*a(n-6) + 2*a(n-7) - 2*a(n-8) + 2*a(n-9) - a(n-10) for n > 10.

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

%K nonn

%O 0,2

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

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Last modified August 9 00:15 EDT 2022. Contains 356016 sequences. (Running on oeis4.)