Hello,
What is the rule for this sequence
1, -16, 792, -65536, 9765625...

I believe that 792 should be 729.

They are the integers raised to multiples of 2 powers.

1^{2}=1, \;\ 2^{4}=16, \;\ 3^{6}=729, \;\ 4^{8}=65536, \;\ 5^{10}=9765625, \;\ 6^{12}=2176782336

Note the exponent is twice the base. The sequence is(-1)^{n+1}{\left{n^{2n}\right}_{n=1}^{\infty}

Of course, the signs alternate.

Yeah, sorry, but you are right