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Search: id:A133351
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| A133351 |
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Dimensions of certain Lie algebra (see reference for precise definition). |
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1
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| 1, 189, 6720, 103125, 945945, 6117748, 30707712, 127152180, 452615625, 1426106605, 4063625280, 10643113845, 25946898705, 59468850000, 129170145280, 267637365072, 531858496113, 1018308094245, 1885647400000, 3388127079645, 5923761615849, 10102561208916
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OFFSET
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0,2
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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(iii), case a=2]
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MAPLE
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b:=binomial; t72c:= proc(a, k) ((4*k+3*a+2)/((3*a+2)*(k+1))) * b(k+a, k)*b(k+a+1, k)*b(k+3*a/2-1, k)*b(k+3*a/2, k)*b(2*k+2*a+1, 2*k)/ (b(k+a/2-1, k)*b(k+a/2, k)*b(2*k+a, 2*k)); end; [seq(t72c(2, k), k=1..40)];
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CROSSREFS
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Sequence in context: A102763 A031901 A076759 this_sequence A076012 A092136 A138730
Adjacent sequences: A133348 A133349 A133350 this_sequence A133352 A133353 A133354
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KEYWORD
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nonn
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AUTHOR
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njas, Oct 20 2007
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