A312981 - OEIS

%I #7 Oct 21 2023 15:10:46

%S 1,4,9,13,20,22,28,31,35,44,44,52,53,57,68,66,76,75,79,92,88,100,97,

%T 101,116,110,124,119,123,140,132,148,141,145,164,154,172,163,167,188,

%U 176,196,185,189,212,198,220,207,211,236

%N Coordination sequence Gal.5.146.4 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 04 2020: (Start)

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

%F G.f.: (x^10 + 4*x^9 + 9*x^8 + 13*x^7 + 20*x^6 + 20*x^5 + 20*x^4 + 13*x^3 + 9*x^2 + 4*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