A315487 - OEIS

%I #7 Apr 22 2024 08:09:37

%S 1,6,11,16,22,27,31,41,45,50,56,61,66,72,78,83,88,94,99,103,113,117,

%T 122,128,133,138,144,150,155,160,166,171,175,185,189,194,200,205,210,

%U 216,222,227,232,238,243,247,257,261,266,272

%N Coordination sequence Gal.5.214.4 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_, Apr 22 2024: (Start)

%F a(n) = a(n-1) + a(n-13) - a(n-14) for n > 14.

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

%K nonn

%O 0,2

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