This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A310031 #10 Oct 21 2023 15:10:32 %S A310031 1,3,5,8,12,16,19,20,21,24,28,32,36,39,40,41,44,49,55,58,57,57,60,65, %T A310031 71,75,76,76,77,81,88,94,95,93,93,97,104,110,112,112,112,114,120,127, %U A310031 131,131,129,130,136,143 %N A310031 Coordination sequence Gal.5.39.1 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 A310031 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 A310031 Brian Galebach, <a href="/A250120/a250120.html">k-uniform tilings (k <= 6) and their A-numbers</a> %F A310031 Conjectures from _Chai Wah Wu_, Dec 10 2018: (Start) %F A310031 a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) + a(n-13) - a(n-14) + a(n-15) - a(n-16) + a(n-17) - a(n-18) for n > 18. %F A310031 G.f.: (x^18 + 2*x^17 + 3*x^16 + 5*x^15 + 7*x^14 + 9*x^13 + 9*x^12 + 8*x^11 + 8*x^10 + 8*x^9 + 8*x^8 + 8*x^7 + 9*x^6 + 9*x^5 + 7*x^4 + 5*x^3 + 3*x^2 + 2*x + 1)/(x^18 - x^17 + x^16 - x^15 + x^14 - x^13 - x^5 + x^4 - x^3 + x^2 - x + 1). (End) %K A310031 nonn %O A310031 0,2 %A A310031 _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018