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 A368941 #26 Feb 16 2025 08:34:06 %S A368941 1,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,7,7,7, %T A368941 7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9, %U A368941 9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10 %N A368941 a(n) = floor(3/2 + sqrt(n)). %C A368941 Burning number of the n-ladder (for n >= 1), n-Moebius ladder (for n >= 3), and n-prism (for n >= 3) graphs. %H A368941 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BurningNumber.html">Burning Number</a>. %H A368941 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LadderGraph.html">Ladder Graph</a>. %H A368941 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MoebiusLadder.html">Moebius Ladder</a>. %H A368941 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrismGraph.html">Prism Graph</a>. %F A368941 a(n) = A000194(n) + 1. - _Andrew Howroyd_, Jan 10 2024 %F A368941 G.f.: x*(1 + QPochhammer(-x^2, x^4)*QPochhammer(x^8, x^8))/(1 - x). %t A368941 Table[Floor[3/2 + Sqrt[n]], {n, 50}] %t A368941 Floor[3/2 + Sqrt[Range[50]]] %t A368941 CoefficientList[Series[(1 + QPochhammer[-x^2, x^4] QPochhammer[x^8, x^8])/(1 - x), {x, 0, 50}], x] %Y A368941 Sequence agrees with the known terms of A155934. %Y A368941 Cf. A000194, A003059. %K A368941 nonn,easy %O A368941 0,2 %A A368941 _Eric W. Weisstein_, Jan 10 2024 %E A368941 Terms a(26) and beyond from _Andrew Howroyd_, Jan 10 2024