%I #31 Apr 13 2022 13:25:17

%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,20,21,22,24,25,28,29,30,31,32,

%T 34,35,36,37,38,39,40,56,57,60,61,62,63,64,70,84,85,88,110,111,112,

%U 120,156,157,159,160,166,182,184,231,232,280,399,400,520,760,1240

%N A finite sequence associated with the Lie algebra E_8.

%C The g.f. (5-6*z+2*z**2)/(z-1)**4 conjectured by _Simon Plouffe_ in his 1992 dissertation is wrong.

%H E. B. Dynkin, <a href="https://doi.org/10.1090/S0077-1554-06-00156-7">Semisimple subalgebras of semisimple Lie algebras</a>, Am. Math. Soc. Translations, Series 2, Vol. 6, 1957, pp. 111-244, esp. p. 211.

%H R. K. Guy, <a href="/A005555/a005555.pdf">Letter to N. J. A. Sloane, May 1990</a>

%H Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.

%H Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992

%K nonn,fini,full

%O 0,2

%A _N. J. A. Sloane_