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A133354 Dimensions of certain Lie algebra (see reference for precise definition). +0
1
1, 1539, 617253, 105489615, 9743909175, 561104814270, 22155294211050, 641798777779380, 14341812253735200, 256924158460700640, 3803151504372077088, 47661484991340720864, 515805481647912249276, 4900345026363722587050, 41434653012551675362750, 315469600749446851604325 (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(iii), case a=8]

MAPLE

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(8, k), k=1..40)];

CROSSREFS

Sequence in context: A088362 A045123 A105923 this_sequence A104167 A092717 A083734

Adjacent sequences: A133351 A133352 A133353 this_sequence A133355 A133356 A133357

KEYWORD

nonn

AUTHOR

njas, Oct 20 2007

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Last modified December 4 20:00 EST 2008. Contains 151309 sequences.


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