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Search: id:A133318
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| A133318 |
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Dimensions of certain Lie algebra (see reference for precise definition). |
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1
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| 1, 66, 1638, 23100, 222156, 1613898, 9447438, 46562373, 199377750, 759230472, 2617486872, 8284996512, 24347884704, 67041815400, 174263649912, 430295153574, 1014662410839, 2295243043170, 4999983023750, 10524366180900, 21467370424500, 42543097418250
(list; graph; listen)
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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(i), case a=4]
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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(4, k), k=0..40)];
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CROSSREFS
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Adjacent sequences: A133315 A133316 A133317 this_sequence A133319 A133320 A133321
Sequence in context: A056468 A027785 A104673 this_sequence A017782 A035728 A114252
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KEYWORD
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nonn
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AUTHOR
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njas, Oct 19 2007
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