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(i), case a = 4]
FORMULA
Empirical g.f.: (x +1)*(x^8 +47*x^7 +556*x^6 +2342*x^5 +3832*x^4 +2342*x^3 +556*x^2 +47*x +1) / (x -1)^18. - Colin Barker, Jul 27 2013
MAPLE
b:=binomial; t72a:= proc(a, k) ((2*a+2*k+1)/(2*a+1)) * b(k+3*a/2-1, k)*b(k+3*a/2+1, k)*b(k+2*a, k)/(b(k+a/2-1, k)*b(k+a/2+1, k)); end; [seq(t72a(4, k), k=0..40)];
MATHEMATICA
t72a[a_, k_] := (2k+2a+1) / (2a+1) Binomial[k+3/2a-1, k] Binomial[k+3/2a+1, k] Binomial[k+2a, k] / (Binomial[k+a/2-1, k] Binomial[k+a/2+1, k]);
Array[t72a[4, #]&, 30, 0] (* Paolo Xausa, Jan 09 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Oct 19 2007
STATUS
approved