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A311936 Coordination sequence Gal.6.300.2 where G.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

%S 1,4,8,13,17,22,26,31,36,40,45,48,54,57,63,62,72,74,82,83,91,91,100,

%T 100,109,102,118,117,128,126,137,134,146,143,155,142,164,160,174,169,

%U 183,177,192,186,201,182,210,203,220,212

%N Coordination sequence Gal.6.300.2 where G.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_, Sep 24 2020: (Start)

%F a(n) = 2*a(n-10) - a(n-20) for n > 23.

%F G.f.: (-x^23 - x^21 + 2*x^20 + 3*x^19 + 10*x^18 + 12*x^17 + 20*x^16 + 18*x^15 + 29*x^14 + 31*x^13 + 38*x^12 + 40*x^11 + 43*x^10 + 40*x^9 + 36*x^8 + 31*x^7 + 26*x^6 + 22*x^5 + 17*x^4 + 13*x^3 + 8*x^2 + 4*x + 1)/(x^20 - 2*x^10 + 1). (End)

%K nonn

%O 0,2

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

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Last modified November 29 11:46 EST 2021. Contains 349416 sequences. (Running on oeis4.)