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A311088 Coordination sequence Gal.4.25.4 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 #6 Oct 21 2023 15:10:35

%S 1,4,8,12,15,17,20,24,29,34,37,40,43,46,50,53,57,62,66,70,72,74,78,82,

%T 87,91,94,98,101,104,107,110,115,120,124,127,129,132,136,140,144,148,

%U 152,156,159,161,164,168,173,178

%N Coordination sequence Gal.4.25.4 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_, Dec 24 2019: (Start)

%F a(n) = a(n-1) - a(n-4) + 2*a(n-5) - a(n-6) + a(n-9) - a(n-10) for n > 10.

%F G.f.: (x + 1)^2*(x^2 + x + 1)*(x^6 + x^3 + 1)/(x^10 - x^9 + x^6 - 2*x^5 + x^4 - 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 July 15 16:08 EDT 2024. Contains 374333 sequences. (Running on oeis4.)