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%I #13 Oct 21 2023 15:11:10
%S 1,6,11,17,22,27,33,38,44,50,55,61,66,71,77,82,88,94,99,105,110,115,
%T 121,126,132,138,143,149,154,159,165,170,176,182,187,193,198,203,209,
%U 214,220,226,231,237,242,247,253,258,264,270
%N Coordination sequence Gal.4.140.3 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_, Jun 11 2020: (Start)
%F a(n) = 2*a(n-1) - a(n-2) - a(n-4) + 2*a(n-5) - a(n-6) for n > 6.
%F G.f.: (x^6 + 4*x^5 + x^3 + 4*x + 1)/((x - 1)^2*(x^4 + 1)). (End)
%F Conjecture: a(n) = (22*n + 2*A188510(n))/4 for n > 0. - _Stefano Spezia_, Jul 30 2022
%Y Cf. A188510, A250120.
%K nonn
%O 0,2
%A _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018
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