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Search: id:A133317
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| A133317 |
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Dimensions of certain Lie algebra (see reference for precise definition). |
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+0
2
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| 1, 35, 405, 2695, 12740, 47628, 149940, 413820, 1029105, 2351635, 5010005, 10061415, 19211920, 35119280, 61799760, 105163632, 173707785, 279397755, 438775645, 674334815, 1016206884, 1504211500, 2190324500, 3141625500, 4443791625, 6205210011, 8561787885
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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This is the case P(5,n) of the family of sequences defined in A132458. - Ottavio D'Antona (dantona(AT)dico.unimi.it), Oct 31 2007
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REFERENCES
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J. M. Landsberg and L. Manivel, The sextonions and E7 1/2, Adv. Math. 201 (2006), 143-179. [Th. 7.2(i), case a=2]
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MAPLE
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b:=binomial; t72a:= proc(a, k) ((2*a+2*k+1)/(2*a+1)) * b(k+3*a/2-1, k)*b(k+3*a/2+1, k)*b(k+2*a, k)/(b(k+a/2-1, k)*b(k+a/2+1, k)); end; [seq(t72a(2, k), k=0..40)];
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CROSSREFS
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Sequence in context: A073567 A133458 A075664 this_sequence A105947 A107915 A114342
Adjacent sequences: A133314 A133315 A133316 this_sequence A133318 A133319 A133320
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Oct 19 2007
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