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 A339249 #12 Mar 28 2021 00:25:05 %S A339249 1053,160056,4313088,28481544,655589376,17666408448,30011240259, %T A339249 116660404224,168658209720,257425688520,2585493646164,2685294084096, %U A339249 7548492087864,9283085543160,9283085543160,32912757834840,62027889765660,72361609003008,81736097625000 %N A339249 List of dimensions for which there exist several non-isomorphic irreducible representations of F4. %C A339249 Terms in this sequence are the terms which could be repeated in A121738. %C A339249 This sequence is infinitely long; see A181746. %D A339249 N. Bourbaki, Lie Groups and Lie Algebras, Chapters 4-6, Springer, 1968, 223-224. %H A339249 Andy Huchala, <a href="/A339249/b339249.txt">Table of n, a(n) for n = 1..804</a> %H A339249 Andy Huchala, <a href="/A339249/a339249.cpp.txt">C++ program</a> %F A339249 Given a vector of 4 nonnegative integers, the Weyl dimension formula tells you the dimension of the corresponding irreducible representation. The list of such dimensions is then sorted numerically and duplicates recorded. %e A339249 With the fundamental weights numbered as in Bourbaki, the highest weights 1001 and 2000 both correspond to irreducible representations of dimension 1053. The highest weights 0102 and 2002 both correspond to irreducible representations of dimension 160056. %Y A339249 Cf. A121738, A181746. %K A339249 nonn %O A339249 1,1 %A A339249 _Andy Huchala_, Nov 28 2020