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A310509 Coordination sequence Gal.5.142.1 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 1,4,10,16,21,25,30,36,42,46,50,56,62,67,71,76,82,88,92,96,102,108,

%T 113,117,122,128,134,138,142,148,154,159,163,168,174,180,184,188,194,

%U 200,205,209,214,220,226,230,234,240,246,251

%N Coordination sequence Gal.5.142.1 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_, Jan 24 2020: (Start)

%F a(n) = a(n-1) + a(n-9) - a(n-10) for n > 10.

%F G.f.: (x^10 + 3*x^9 + 6*x^8 + 6*x^7 + 5*x^6 + 4*x^5 + 5*x^4 + 6*x^3 + 6*x^2 + 3*x + 1)/(x^10 - x^9 - x + 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 25 11:24 EDT 2024. Contains 371967 sequences. (Running on oeis4.)