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Search: id:A133352
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| A133352 |
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Dimensions of certain Lie algebra (see reference for precise definition). |
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1
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| 1, 495, 55055, 2550548, 65493792, 1095915744, 13232722140, 123515648685, 935877829315, 5967356119725, 32906870606610, 160314212254560, 701733465072640, 2797750569360384, 10273887744211872, 35073296276201118, 112179553015334805, 338384405311947995
(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(iii), case a=4]
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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(4, k), k=1..40)];
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CROSSREFS
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Sequence in context: A055157 A027808 A104478 this_sequence A140913 A109477 A110847
Adjacent sequences: A133349 A133350 A133351 this_sequence A133353 A133354 A133355
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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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