cp's OEIS Frontend

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.

A179663 The dimension of the space of invariant tensors in the n-th tensor power of the adjoint representation of the exceptional Lie algebra E8.

This page as a plain text file.
%I A179663 #12 Jan 13 2025 11:09:52
%S A179663 1,0,1,1,5,16,79,421,2674,19244,156612,1423028,14320350,158390872,
%T A179663 1912977222,25083283995,355246037162,5409471180024,88200546561838,
%U A179663 1534120589972637,28369229081383675,556021169447494656,11517512836906556032,251487262264563372960
%N A179663 The dimension of the space of invariant tensors in the n-th tensor power of the adjoint representation of the exceptional Lie algebra E8.
%C A179663 This is known to satisfy a linear recurrence relation with polynomial coefficients. The limit of a[n+1]/a[n] is 248.
%H A179663 Bruce Westbury, <a href="/A179663/b179663.txt">Table of n, a(n) for n = 0..30</a>
%H A179663 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 A179663 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 A179663 nonn
%O A179663 0,5
%A A179663 _Bruce Westbury_, Jul 23 2010