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 A121318 #28 May 21 2025 06:35:11 %S A121318 0,4,16,38,74,128,204,306,438,604,808,1054,1346,1688,2084,2538,3054, %T A121318 3636,4288,5014,5818,6704,7676,8738,9894,11148,12504,13966,15538, %U A121318 17224,19028,20954,23006,25188,27504,29958,32554,35296,38188,41234,44438 %N A121318 Molecular topological indices of the path graphs P_n. %C A121318 Maximum molecular topological index for alkane trees with n vertices. %C A121318 See page 161 of Muller et al. paper for the definition of molecular topological index. %H A121318 W. R. Müller, K. Szymanski, J. V. Knop and N. Trinajstich, <a href="https://doi.org/10.1021/ci00066a011">Molecular topological index</a>, J. Chem. Inf. Comput. Sci., vol. 30 (1990), pp. 160-163. See Table 2 on page 162 column 4. %H A121318 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MolecularTopologicalIndex.html">Molecular Topological Index</a> %H A121318 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PathGraph.html">Path Graph</a> %H A121318 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A121318 a(1) = 0; a(n) = (2*n^3-3*n^2+13*n-18)/3. - _Eric W. Weisstein_, Jul 10 2011 %F A121318 G.f.: 2*x^2*(x+1)*(2-2*x+x^2)/(1-x)^4. - _Colin Barker_, Aug 07 2012 %e A121318 If n=10 then the maximum molecular topological index is 604 which is the tenth term in the sequence. %Y A121318 Cf. A000602. %K A121318 nonn,easy %O A121318 1,2 %A A121318 _Parthasarathy Nambi_, Aug 25 2006