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A310529 Coordination sequence Gal.4.75.1 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 1,4,10,16,22,28,34,38,42,48,54,60,66,72,76,80,86,92,98,104,110,114,

%T 118,124,130,136,142,148,152,156,162,168,174,180,186,190,194,200,206,

%U 212,218,224,228,232,238,244,250,256,262,266

%N Coordination sequence Gal.4.75.1 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-7) - a(n-8) for n > 8.

%F G.f.: (x^8 + 3*x^7 + 6*x^6 + 6*x^5 + 6*x^4 + 6*x^3 + 6*x^2 + 3*x + 1)/(x^8 - x^7 - 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 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)