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 A179683 #18 Jan 13 2025 11:09:55 %S A179683 1,0,1,1,5,16,80,436,2877,21828,189877,1865175,20468437,248376198, %T A179683 3303397123,47785692843,746841034620,12538089887528,224955746518560, %U A179683 4294093811333388,86859002770470072,1855099612560598420,41698660497526383757 %N A179683 The dimension of the space of invariant tensors in the n-th tensor power of the adjoint representation of the exceptional Lie algebra E7. %C A179683 This is known to satisfy a linear recurrence relation with polynomial coefficients. The limit of a(n+1)/a(n) is 133. %H A179683 Bruce Westbury, <a href="/A179683/b179683.txt">Table of n, a(n) for n = 0..32</a> %H A179683 Jacob L. Bourjaily, Michael Plesser, and Cristian Vergu, <a href="https://arxiv.org/abs/2412.21189">The Many Colours of Amplitudes</a>, arXiv:2412.21189 [hep-th], 2024. See p. 53. %e A179683 The n-th tensor power is the trivial representation for n=0 and is the adjoint representation for n=1. For n=2 every invariant tensor is a scalar multiple of a Killing form. %K A179683 nonn %O A179683 0,5 %A A179683 _Bruce Westbury_, Jul 24 2010 %E A179683 More terms from _Bruce Westbury_, Nov 08 2013