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A310511 Coordination sequence Gal.6.354.1 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 1,4,10,16,21,26,31,36,41,46,52,58,62,66,72,78,83,88,93,98,103,108,

%T 114,120,124,128,134,140,145,150,155,160,165,170,176,182,186,190,196,

%U 202,207,212,217,222,227,232,238,244,248,252

%N Coordination sequence Gal.6.354.1 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) - 3*a(n-2) + 4*a(n-3) - 4*a(n-4) + 4*a(n-5) - 3*a(n-6) + 2*a(n-7) - a(n-8) for n > 8.

%F G.f.: (x^8 + 2*x^7 + 5*x^6 + 4*x^5 + 7*x^4 + 4*x^3 + 5*x^2 + 2*x + 1)/((x - 1)^2*(x^2 + 1)*(x^2 - x + 1)*(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 June 26 21:14 EDT 2022. Contains 354885 sequences. (Running on oeis4.)