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A310146 Coordination sequence Gal.5.39.2 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 15:10:32

%S 1,3,6,9,11,14,17,20,24,26,28,32,34,37,41,43,46,49,51,54,58,61,63,66,

%T 69,71,75,78,80,84,86,88,92,95,98,101,103,106,109,112,115,118,121,123,

%U 126,129,132,136,138,140

%N Coordination sequence Gal.5.39.2 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-3) + a(n-13) - a(n-16) for n > 16.

%F G.f.: (x^16 + 3*x^15 + 6*x^14 + 8*x^13 + 8*x^12 + 8*x^11 + 8*x^10 + 9*x^9 + 10*x^8 + 9*x^7 + 8*x^6 + 8*x^5 + 8*x^4 + 8*x^3 + 6*x^2 + 3*x + 1)/(x^16 - x^13 - x^3 + 1). (End)

%K nonn

%O 0,2

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

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Last modified March 4 23:31 EST 2024. Contains 370537 sequences. (Running on oeis4.)