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A005555 A finite sequence associated with the Lie algebra E_8. 25
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
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.
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
CROSSREFS
Sequence in context: A316530 A296864 A124695 * A128829 A342478 A194967
KEYWORD
nonn,fini,full
AUTHOR
STATUS
approved

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Last modified July 22 07:42 EDT 2024. Contains 374481 sequences. (Running on oeis4.)