How to extend a row vector down in increasing values?

Say I have the vector

a = [4 5 6];

How can I make the vector into

[4 5 6
 5 6 7
 6 7 8
 7 8 9
 ...]

where each column increments by some constant amount? The number of initial values nor the number of new rows are constant.

Answer 1

[Star Strider]

The bsxfun function is perfect for this:

a = [4 5 6];
N = 5;                                                          % Desired Row Lenth
Out = bsxfun(@plus, a, [0:N]')

Out =
     4     5     6
     5     6     7
     6     7     8
     7     8     9
     8     9    10
     9    10    11