Two numbers are missing in this pattern:

2, 4, 11, 37, 153, ??, ???

What are they?

To me the pattern looks like:
x[i]=x[i-1](i-1)+i
where x[1] is just started at 2 arbitrarily (since x[1]=x[0](1-1)+1=2 yields 1=2, or x[0]=1/0, either way cannot be solved).
Therefore, we have:
1 x
-------
1 x=2
2 x=2(2-1)+2=2+2=4
3 x=4(3-1)+3=8+3=11
4 x=11(4-1)+4=37
5 x=37(5-1)+5=153
6 x=53(6-1)+6=771
7 x=171(771)+7=4663

Posted by DJ on 2003-03-03 19:46:32