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A133239 Dimensions of certain Lie algebra (see reference for precise definition). 1
1, 78, 2430, 43758, 537966, 4969107, 36685506, 225961450, 1198006524, 5597569328, 23474156784, 89644484592, 315415779120, 1032380107812, 3168537039954, 9180278955210, 25252641533405, 66272502260250, 166635797864250, 402908157902250, 939815697512250 (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. 7.1, case a=2]

LINKS

Table of n, a(n) for n=0..20.

MAPLE

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(2, k), k=0..30)];

CROSSREFS

Sequence in context: A036524 A262063 A140934 * A210407 A146479 A017794

Adjacent sequences:  A133236 A133237 A133238 * A133240 A133241 A133242

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 15 2007

STATUS

approved

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Last modified October 1 01:28 EDT 2022. Contains 357134 sequences. (Running on oeis4.)