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A133355 Dimensions of certain Lie algebra (see reference for precise definition). +0
1
1, 21, 210, 1386, 6930, 28314, 99099, 306735, 858858, 2212210, 5309304, 11992344, 25697880, 52581816, 103285710, 195635286, 358664691, 638489775, 1106715610, 1872263250, 3097744650, 5021809650, 7989242625, 12491007165, 19216934100, 29124331236, 43526473056 (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. 7.3, case a=6]

MAPLE

b:=binomial; t73:= proc(a, k) ((2*k+a)*(k+a)/(a^2)) * b(k+a-1, k)*b(k+3*a/2-1, k)/(b(k+a/2, k)); end; [seq(t73(6, k), k=0..40)];

CROSSREFS

Sequence in context: A047646 A010937 A022616 this_sequence A041846 A120786 A053063

Adjacent sequences: A133352 A133353 A133354 this_sequence A133356 A133357 A133358

KEYWORD

nonn

AUTHOR

njas, Oct 20 2007

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Last modified December 4 21:35 EST 2008. Contains 151309 sequences.


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