|
Search: id:A038539
|
|
|
| A038539 |
|
Complex semisimple Lie algebras of dimension n. |
|
+0
1
|
|
| 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 5, 8, 8, 7, 12, 12, 9, 13, 15, 15, 19, 21, 21, 23, 25, 28, 34, 35, 37, 45, 45, 45, 56, 59, 61, 77, 80, 76, 92, 100, 101, 119, 130, 133, 147, 159, 170, 188, 200, 216, 243, 251, 260, 298, 317, 329, 379, 400
(list; graph; listen)
|
|
|
OFFSET
|
1,9
|
|
|
COMMENT
|
Direct consequence of classification of complex finite-dimensional simple Lie algebras
|
|
REFERENCES
|
N. Jacobson, Lie Algebras, Dover Publications.
|
|
FORMULA
|
G.f.: (1+x)/((1 - x^14)(1 - x^52)(1 - x^78)(1-x^133)(1 - x^248) prod( 1-x^(n^2 + 2n), n = 1..inf) prod(1 - x^(2n^2 + n), n=2..inf) prod(1-x^(2n^2+n), n=3..inf) prod( 1-x^(2n^2 - n), n=4..inf)).
|
|
CROSSREFS
|
Adjacent sequences: A038536 A038537 A038538 this_sequence A038540 A038541 A038542
Sequence in context: A025780 A109697 A103373 this_sequence A109368 A046774 A029105
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
Paolo Dominici (pl.dm(AT)libero.it)
|
|
|
Search completed in 0.002 seconds
|
