Plotting a sum with a variable

Hi everyone. I would like to plot something of the form:

sum( (factorial(k) / (factorial(i)*factorial(k-i)), i=1..k)

for different values of k, say, for k=1,2,..,10 in a single graph.

Does anyone know the syntax how to do that? I greatly appreciate your answers! Thanks! D

Answer 1

[Jos (10584)]

Creat a function and use arrayfun:

fh = @(k) sum(factorial(k) ./ factorial(1:k) .* factorial(k-(1:k))) % function handle
x = 1:5
y = arrayfun(fh, x) % apply function to a list of values
plot(x, y ,'bo-')

Answer 2

[Dimitri]

Thank Jos, everything makes sense now!