N = 1:100;

idx = 0;
for nn = N
    for kk = 1:nn;
        idx = idx + 1;
        gold = nchoosek(nn, kk);
        a1 = exp(nchoosekln(nn, kk));
        a2 = exp(nchoosekln2(nn, kk));
        err1(idx) = a1/gold - 1;
        err2(idx) = a2/gold - 1;
    end
end

[max(err1), max(err2)]
[median(err1), median(err2)]
[mean(err1), mean(err2)]

test_exit