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Search: id:A133353
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| A133353 |
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Dimensions of certain Lie algebra (see reference for precise definition). |
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+0 1
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| 1, 945, 219912, 21488544, 1139660280, 38177564139, 892057462725, 15580701253260, 213956841238140, 2399777401421400, 22644486186626304, 184024677027809280, 1312566991805977344, 8344965320236093032, 47903608753899166620, 250980634154501770596
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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=6]
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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(6, k), k=1..40)];
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CROSSREFS
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Sequence in context: A127666 A133818 A112491 this_sequence A119240 A093247 A020366
Adjacent sequences: A133350 A133351 A133352 this_sequence A133354 A133355 A133356
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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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