A133349 Dimensions of certain Lie algebra (see reference for precise definition).

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

Paolo Xausa, Table of n, a(n) for n = 0..10000

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 A191374 A299466

Adjacent sequences: A133346 A133347 A133348 * A133350 A133351 A133352

Keyword

nonn

Author

N. J. A. Sloane, Oct 20 2007

Status

approved