# Summation

• Jul 25th 2009, 05:05 AM
usagi_killer
Summation
• Jul 25th 2009, 07:44 AM
red_dog
We have to find the coefficient of $x^{1996}$ in the left member.

The powers of x in the left member are of the form $x^{\displaystyle 3^{k_1}+3^{k_2}+\ldots+3^{k_l}}=x^{3p}$

But 1996 is not divisible to 3. So the coefficient is 0.
• Jul 25th 2009, 08:12 AM
usagi_killer
• Jul 26th 2009, 12:59 AM
usagi_killer