A314929 - OEIS

%I #6 Jun 12 2026 01:03:15

%S 1,5,9,14,20,21,30,33,35,44,46,51,58,61,63,72,74,77,90,87,91,102,100,

%T 105,118,117,117,132,128,131,148,143,147,160,156,159,176,171,173,192,

%U 182,187,206,197,201,220,212,213,236,225

%N Coordination sequence Gal.5.189.5 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_, Jun 12 2026: (Start)

%F a(n) = - a(n-2) + a(n-3) - a(n-4) + a(n-5) + 2*a(n-7) + a(n-9) - a(n-10) + a(n-11) - a(n-12) - a(n-14) for n > 14.

%F G.f.: (x^14 + 5*x^13 + 11*x^12 + 18*x^11 + 25*x^10 + 29*x^9 + 40*x^8 + 37*x^7 + 40*x^6 + 30*x^5 + 25*x^4 + 18*x^3 + 10*x^2 + 5*x + 1)/(x^14 + x^12 - x^11 + x^10 - x^9 - 2*x^7 - x^5 + x^4 - x^3 + x^2 + 1). (End)

%K nonn

%O 0,2

%A _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018