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A310651 Coordination sequence Gal.6.548.2 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 15:10:34

%S 1,4,6,14,20,26,28,30,40,38,48,54,60,60,62,74,70,82,88,94,92,94,108,

%T 102,116,122,128,124,126,142,134,150,156,162,156,158,176,166,184,190,

%U 196,188,190,210,198,218,224,230,220,222

%N Coordination sequence Gal.6.548.2 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) = 2*a(n-7) - a(n-14) for n > 15.

%F G.f.: (-2*x^15 + 3*x^14 + 4*x^13 + 8*x^12 + 14*x^11 + 20*x^10 + 26*x^9 + 32*x^8 + 28*x^7 + 28*x^6 + 26*x^5 + 20*x^4 + 14*x^3 + 6*x^2 + 4*x + 1)/(x^14 - 2*x^7 + 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 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)