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 A315520 #13 Oct 21 2023 15:11:10 %S A315520 1,6,11,17,22,27,33,38,44,50,55,61,66,71,77,82,88,94,99,105,110,115, %T A315520 121,126,132,138,143,149,154,159,165,170,176,182,187,193,198,203,209, %U A315520 214,220,226,231,237,242,247,253,258,264,270 %N A315520 Coordination sequence Gal.4.140.3 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 A315520 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 A315520 Brian Galebach, <a href="/A250120/a250120.html">k-uniform tilings (k <= 6) and their A-numbers</a> %F A315520 Conjectures from _Chai Wah Wu_, Jun 11 2020: (Start) %F A315520 a(n) = 2*a(n-1) - a(n-2) - a(n-4) + 2*a(n-5) - a(n-6) for n > 6. %F A315520 G.f.: (x^6 + 4*x^5 + x^3 + 4*x + 1)/((x - 1)^2*(x^4 + 1)). (End) %F A315520 Conjecture: a(n) = (22*n + 2*A188510(n))/4 for n > 0. - _Stefano Spezia_, Jul 30 2022 %Y A315520 Cf. A188510, A250120. %K A315520 nonn %O A315520 0,2 %A A315520 _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018