A005555 A finite sequence associated with the Lie algebra E_8.

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, 34, 35, 36, 37, 38, 39, 40, 56, 57, 60, 61, 62, 63, 64, 70, 84, 85, 88, 110, 111, 112, 120, 156, 157, 159, 160, 166, 182, 184, 231, 232, 280, 399, 400, 520, 760, 1240

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full

Comments

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

Links

• E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Am. Math. Soc. Translations, Series 2, Vol. 6, 1957, pp. 111-244, esp. p. 211.
• R. K. Guy, Letter to N. J. A. Sloane, May 1990
• Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.
• Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992