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Search: id:A133238
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| A133238 |
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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, 52, 1053, 12376, 100776, 627912, 3187041, 13748020, 51949755, 175847880, 542393670, 1544927904, 4107092288, 10278624864, 24388573014, 55188666312, 119696471453, 249869263644, 503865726155, 984563860280, 1869304764600, 3456658569000, 6238533257775
(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. 7.1, case a=1]
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MAPLE
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b:=binomial; t71:= proc(a, k) ((3*a+2*k+5)/(3*a+5)) * b(k+2*a+3, k)*b(k+5*a/2+3, k)*b(k+3*a+4, k)/(b(k+a/2+1, k)*b(k+a+1, k)); end; [seq(t71(1, k), k=0..30)];
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CROSSREFS
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The cases a = -4/3, -1, -2/3, 0, 1, 2, 4, 6, 8 of Th. 7.1 of Landsberg and Manivel give sequences A005408, A000578, A085462, A107942, A133238 (this entry), A133239, A133240, A133241 and A030650 respectively. See also triangle in A128894.
Sequence in context: A100413 A007247 A083936 this_sequence A130000 A017768 A035721
Adjacent sequences: A133235 A133236 A133237 this_sequence A133239 A133240 A133241
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KEYWORD
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nonn
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AUTHOR
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njas, Oct 15 2007
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