OFFSET
0,2
LINKS
J. M. Borwein, A short walk can be beautiful, 2015.
Jonathan M. Borwein, Armin Straub and Christophe Vignat, Densities of short uniform random walks, Part II: Higher dimensions, Preprint, 2015.
MAPLE
W := proc(n, nu, twok)
option remember;
local k;
k := twok/2 ;
if n = 2 and nu = 1 then
binomial(2*k+2, k+1)/(k+2) ;
else
add( procname(n-1, nu, 2*j)*binomial(k, j)*(k+nu)!*nu!/(k-j+nu)!/(j+nu)!, j=0..k) ;
simplify(%, GAMMA) ;
end if;
end proc:
A253096 := proc(n)
W(5, 1, n) ;
end proc:
seq(A253096(2*n), n=0..25) ; # R. J. Mathar, Jun 14 2015
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 16 2015
EXTENSIONS
a(20) corrected by Georg Fischer, May 30 2022
STATUS
approved