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A310508 Coordination sequence Gal.4.123.1 where G.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

%S 1,4,10,16,21,24,29,36,42,46,48,54,62,68,71,72,79,88,94,96,96,104,114,

%T 120,121,120,129,140,146,146,144,154,166,172,171,168,179,192,198,196,

%U 192,204,218,224,221,216,229,244,250,246

%N Coordination sequence Gal.4.123.1 where G.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_, Jan 24 2020: (Start)

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

%F G.f.: (x^2 + x + 1)^2*(x^6 + 2*x^5 + 3*x^4 + 2*x^3 + 3*x^2 + 2*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 May 22 23:18 EDT 2022. Contains 353959 sequences. (Running on oeis4.)