Nope.avi

MiningMarsh@Dell-Laptop-Gentoo:pts/1 ~ % cat dice-new.lua
local diced={}

function dice(s,n,k)
        local sum,i
        if n==0 then
                if s==0 then
                        return 1
                else
                        return 0
                end
        end
        if typename(diced[s][n]) == "number" then
                return diced[s][n]
        end
        for I = 1,k,1 do
                sum = sum + dice(s-I,n-1,k)
        end
        diced[s][n] = sum
        return sum
end

print(dice(15,5,5))
print(dice(1,1,1))
print(dice(20,1,1))
print(dice(5,2,6))
print(dice(50,20,20))
MiningMarsh@Dell-Laptop-Gentoo:pts/1 ~ % lua dice-new.lua
lua: dice-new.lua:12: attempt to index field '?' (a nil value)
stack traceback:
        dice-new.lua:12: in function 'dice'
        dice-new.lua:22: in main chunk
        [C]: ?