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 A299910 #21 Jul 11 2025 14:06:15 %S A299910 1,5,10,17,23,28,33,40,45,48,55,63,68,71,78,85,88,93,101,108,111,116, %T A299910 123,128,133,139,146,151,156,161,166,173,179,184,189,196,201,204,211, %U A299910 219,224,227,234,241,244,249,257,264,267,272,279,284,289,295,302,307 %N A299910 Coordination sequence of point of type 3.3.4.3.4 in 3-uniform tiling #3.54 in the Galebach listing. %H A299910 Rémy Sigrist, <a href="/A299910/b299910.txt">Table of n, a(n) for n = 0..2500</a> %H A299910 Brian Galebach, <a href="http://probabilitysports.com/tilings.html?u=0&n=3&t=54">Tiling 3.54</a> %H A299910 Brian Galebach, <a href="/A299909/a299909.png">Tiling 3.54</a> [Annotated figure showing the 3 kinds of points mentioned in A299909, A299910, A299911] %H A299910 Brian Galebach, <a href="/A250120/a250120.html">k-uniform tilings (k <= 6) and their A-numbers</a> %H A299910 Printable Paper Web Site, <a href="https://www.printablepaper.net/preview/3-3-3-3-3-3_3-3-4-3-4_Tessellation_Paper-Small">Printable 3.3.3.3.3.3,3.3.4.3.4 Tessellation Small</a> [Shows this tiling] %H A299910 Rémy Sigrist, <a href="/A299910/a299910.gp.txt">PARI program for A299910</a> %F A299910 Conjectures from _Chai Wah Wu_, Jul 10 2025: (Start) %F A299910 a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-7) - a(n-8) + a(n-9) - a(n-10) for n > 10. %F A299910 G.f.: (x^10 + 4*x^9 + 6*x^8 + 11*x^7 + 11*x^6 + 12*x^5 + 11*x^4 + 11*x^3 + 6*x^2 + 4*x + 1)/(x^10 - x^9 + x^8 - x^7 - x^3 + x^2 - x + 1). (End) %o A299910 (PARI) \\ See Links section. %Y A299910 See A299909, A299911 for the other two kinds of points. %K A299910 nonn %O A299910 0,2 %A A299910 _N. J. A. Sloane_, Mar 07 2018 %E A299910 More terms from _Rémy Sigrist_, May 10 2021