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A310618 Coordination sequence Gal.4.121.2 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 1,4,6,14,16,18,28,26,36,36,38,50,46,58,56,58,72,66,80,76,78,94,86,

%T 102,96,98,116,106,124,116,118,138,126,146,136,138,160,146,168,156,

%U 158,182,166,190,176,178,204,186,212,196

%N Coordination sequence Gal.4.121.2 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_, Feb 02 2023: (Start)

%F a(n) = 2*a(n-5) - a(n-10) for n > 11.

%F G.f.: (-2*x^11 + 3*x^10 + 4*x^9 + 8*x^8 + 14*x^7 + 20*x^6 + 16*x^5 + 16*x^4 + 14*x^3 + 6*x^2 + 4*x + 1)/(x^10 - 2*x^5 + 1). (End)

%K nonn

%O 0,2

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

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Last modified April 19 03:57 EDT 2024. Contains 371782 sequences. (Running on oeis4.)