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Search: id:A005555
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| A005555 |
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A finite sequence associated with the Lie algebra E_8. |
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+0
2
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| 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; listen)
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OFFSET
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0,2
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COMMENT
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The g.f. (5-6*z+2*z**2)/(z-1)**4 conjectured by S. Plouffe in his 1992 dissertation is wrong.
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REFERENCES
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E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Am. Math. Soc. Translations, Series 2, Vol. 6, 1957, pp. 111-244, esp. p. 211.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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CROSSREFS
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Sequence in context: A078510 A017909 A124695 this_sequence A128829 A023770 A023797
Adjacent sequences: A005552 A005553 A005554 this_sequence A005556 A005557 A005558
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KEYWORD
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nonn,fini,full
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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