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A133349 Dimensions of certain Lie algebra (see reference for precise definition). 0
1, 44, 891, 11440, 106964, 787644, 4803656, 25126816, 115640460, 477409504, 1794876116, 6219677664, 20060380120, 60709045100, 173556446580, 471387879600, 1222309899525, 3038581131300, 7268211039375, 16781568991200, 37505964810600, 81340096523400 (list; graph; refs; listen; history; text; internal format)
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(ii), case a=6]

LINKS

Table of n, a(n) for n=0..21.

MAPLE

b:=binomial; t72b:= proc(a, k) ((a+k+1)/(a+1)) * b(k+2*a+1, k)*b(k+3*a/2+1, k)/(b(k+a/2, k)); end; [seq(t72b(6, k), k=0..28)];

CROSSREFS

Sequence in context: A159948 A183756 A183750 * A010838 A191374 A299466

Adjacent sequences:  A133346 A133347 A133348 * A133350 A133351 A133352

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 20 2007

STATUS

approved

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Last modified October 22 02:35 EDT 2020. Contains 337948 sequences. (Running on oeis4.)