How do I create a vector that increases in size with decreasing increments?

I'm trying to create a vector that increases between 0 and 10, increasing rapidly at first and then plateauing with smaller increments towards 10.

For example: [0 4 7 9 10]

I have tried using logspace and exp with:

 y1 = logspace(0,1,5);

and

 X = 0:0.5:10;
 Y = exp(X/2);
 plot(X,Y)

but they produce the opposite result I am trying to achieve. I've searched the web using key words but haven't came across anything similar, I think the "increasing whilst decreasing" factor is skewing results.

Are there any functions I'm missing that produce this vector automatically?

Thanks in advance!

Answer 1

[Stephan]

Hi,

this could meet your requirements:

a = 10;
x = 0:10;
y = a*exp(-1./x);
plot(x,y)

gives:

y =

           0    3.6788    6.0653    7.1653    7.7880    8.1873    8.4648    8.6688    8.8250    8.9484    9.0484

.

If you need y to be integer use:

y = round(a*exp(-1./x));

Best regards

Stephan