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A133349
Dimensions of certain Lie algebra (see reference for precise definition).
1
1, 44, 891, 11440, 106964, 787644, 4803656, 25126816, 115640460, 477409504, 1794876116, 6219677664, 20060380120, 60709045100, 173556446580, 471387879600, 1222309899525, 3038581131300, 7268211039375, 16781568991200, 37505964810600, 81340096523400
OFFSET
0,2
LINKS
J. M. Landsberg and L. Manivel, The sextonions and E7 1/2, Adv. Math. 201 (2006), pp. 143-179. [Th. 7.2(ii), case a = 6]
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)];
MATHEMATICA
t72b[a_, k_] := (a+k+1) / (a+1) Binomial[k+2a+1, k] Binomial[k+3/2a+1, k] / Binomial[k+a/2, k];
Array[t72b[6, #]&, 30, 0] (* Paolo Xausa, Jan 09 2024 *)
CROSSREFS
Sequence in context: A159948 A183756 A183750 * A010838 A375895 A191374
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Oct 20 2007
STATUS
approved