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A310516 Coordination sequence Gal.6.599.1 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 1,4,10,16,22,24,32,38,42,46,54,56,66,64,76,78,86,86,98,96,110,104,

%T 120,118,130,126,142,136,154,144,164,158,174,166,186,176,198,184,208,

%U 198,218,206,230,216,242,224,252,238,262,246

%N Coordination sequence Gal.6.599.1 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-2) + a(n-8) - a(n-10) for n > 11.

%F G.f.: (-2*x^11 + 3*x^10 + 4*x^9 + 9*x^8 + 14*x^7 + 10*x^6 + 8*x^5 + 12*x^4 + 12*x^3 + 9*x^2 + 4*x + 1)/(x^10 - x^8 - x^2 + 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 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)