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 A339248 #24 Mar 28 2021 15:24:54 %S A339248 77,2079,4928,30107,56133,133056,315392,812889,1203125,1515591, %T A339248 1926848,3592512,8515584,9058973,20185088,21948003,32484375,40920957, %U A339248 52024896,77000000,96997824,123318272,136410197,229920768,244592271,342513171,371664293,470421875 %N A339248 List of dimensions for which there exist several non-isomorphic irreducible representations of G2. %C A339248 Terms which could be repeated in A104599. %C A339248 There are infinitely many terms in this sequence as the dimension formula is homogeneous of degree 6; see A181746. %D A339248 N. Bourbaki, Lie Groups and Lie Algebras, Chapters 4-6, Springer, 1968, 231-233. %H A339248 Andy Huchala, <a href="/A339248/b339248.txt">Table of n, a(n) for n = 1..20000</a> %H A339248 Andy Huchala, <a href="/A339248/a339248.cpp.txt">C++ program</a> %H A339248 Wikipedia, <a href="https://en.wikipedia.org/wiki/G2_(mathematics)">G2 (mathematics)</a> %F A339248 Given a vector of 2 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 A339248 With the fundamental weights numbered as in Bourbaki, the highest weights 3,0 and 0,2 both correspond to irreducible representations of dimension 77. The highest weights 2,3 and 8,0 both correspond to irreducible representations of dimension 2079. %Y A339248 Cf. A181746, A104599. %K A339248 nonn %O A339248 1,1 %A A339248 _Andy Huchala_, Nov 28 2020