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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; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The row sums are in A120668.
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REFERENCES
| 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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EXAMPLE
| {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
| 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
| Cf. A124680, A129766.
Sequence in context: A117002 A131501 A146951 * A114975 A079329 A020741
Adjacent sequences: A129841 A129842 A129843 * A129845 A129846 A129847
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KEYWORD
| nonn,fini,full
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 22 2007
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Dec 30 2008
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