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A315495 Coordination sequence Gal.5.135.3 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. 0

%I #7 Apr 15 2024 04:58:37

%S 1,6,11,16,22,28,34,39,44,50,56,61,66,72,78,84,89,94,100,106,111,116,

%T 122,128,134,139,144,150,156,161,166,172,178,184,189,194,200,206,211,

%U 216,222,228,234,239,244,250,256,261,266,272

%N Coordination sequence Gal.5.135.3 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_, Apr 14 2024: (Start)

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

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

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Last modified August 16 09:29 EDT 2024. Contains 375174 sequences. (Running on oeis4.)