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A129844
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Triangular sequence constructed from heights of irreducible representations of semi-simple Lie algebras (exceptional groups plus A1, G2, F4, E6, E7, E8).
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3
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1, 6, 10, 16, 22, 30, 42, 16, 16, 22, 30, 30, 42, 27, 34, 49, 52, 66, 75, 96, 58, 92, 114, 136, 168, 192, 220, 270
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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REFERENCES
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R. N. Cahn, Semi-Simple Lie Algebras and Their Representations, Dover, NY, 2006, ISBN 0-486-44999-8, p. 139.
E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Amer. Math. Soc. Translations, Vol. ?, 1957, pages ?.
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LINKS
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EXAMPLE
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{1},
{6, 10},
{16, 22, 30, 42},
{16, 16, 22, 30, 30, 42},
{27, 34, 49, 52, 66, 75, 96},
{58, 92, 114, 136, 168, 192, 220, 270}};
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MATHEMATICA
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a = {{1}, {6, 10}, {16, 22, 30, 42}, {16, 16, 22, 30, 30, 42}, {27, 34, 49, 52, 66, 75, 96}, {58, 92, 114, 136, 168, 192, 220, 270}}; Flatten[a]
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CROSSREFS
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KEYWORD
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nonn,fini,full,tabf
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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