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A129844
Triangular sequence constructed from heights of irreducible representations of semi-simple Lie algebras (groups A1, G2, F4, E6, E7, E8).
3
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, 182, 220, 270
OFFSET
1,2
COMMENTS
The row sums are in A120668.
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. 6, 1957, pages 111-244.
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, 182, 220, 270}};
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, 182, 220, 270}}; Flatten[a]
CROSSREFS
Sequence in context: A315346 A315347 A315348 * A301724 A315349 A315350
KEYWORD
nonn,fini,full,tabf
AUTHOR
Roger L. Bagula, May 22 2007
EXTENSIONS
Edited by N. J. A. Sloane, Dec 30 2008
a(26) corrected by Andrey Zabolotskiy, Jul 23 2024
STATUS
approved