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 A349417 #17 Dec 18 2021 23:45:55
%S A349417 9,18,32,52,79,114,158,212,277,354,444,548,667,802,954,1124,1313,1522,
%T A349417 1752,2004,2279,2578,2902,3252,3629,4034,4468,4932,5427,5954,6514,
%U A349417 7108,7737,8402,9104,9844,10623,11442,12302,13204,14149,15138,16172,17252,18379,19554,20778
%N A349417 a(n) is the Wiener index of a sling on n+1 vertices.
%C A349417 A sling on n+1 vertices is a caterpillar that is obtained by adding 1 pendant vertex to the first (or last) internal vertex of a path on n >= 3 vertices.
%F A349417 a(n) = n^3/6 + n^2/2 - 2n/3 + 2.
%e A349417 For n=3, a(3)=9 gives the Wiener index of a star graph on 4 vertices. For n=4, a(4)=18 gives the Wiener index of a sling graph on 5 vertices.
%e A349417 *
%e A349417 *__\*__*__*
%t A349417 Table[n^3/6 + n^2/2 - 2n/3 + 2, {n, 3, 102}]
%Y A349417 Cf. A349416 (broom), A349418 (tridon).
%Y A349417 Essentially same as A005581(n)+2.
%K A349417 nonn,look
%O A349417 3,1
%A A349417 _Julian Allagan_, Nov 16 2021