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A133319 Dimensions of certain Lie algebra (see reference for precise definition). +0
1
1, 99, 3927, 89661, 1387386, 15991118, 146005860, 1102439052, 7104607224, 40026446824, 200870048808, 911470725816, 3785393728644, 14533745396940, 52021580746190, 174825979846650, 554970843001575, 1672767047791125, 4809070448807625, 13239084661963875 (list; graph; listen)
OFFSET

0,2

REFERENCES

J. M. Landsberg and L. Manivel, The sextonions and E7 1/2, Adv. Math. 201 (2006), 143-179. [Th. 7.2(i), case a=6]

MAPLE

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(6, k), k=0..40)];

CROSSREFS

Sequence in context: A074786 A157370 A163040 this_sequence A017815 A017762 A069363

Adjacent sequences: A133316 A133317 A133318 this_sequence A133320 A133321 A133322

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Oct 19 2007

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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