# Number pattern problem

I need some help to figure out the following number pattern:

Find the next number in the following sequence: $3, 2, 3, 12, 35, 78$.

I tired to figure out the difference by add/subtract/multiple/division also tried to find the existing known pattern still could not work it out.

• According to OEIS, this sequence is not listed. – Euler....IS_ALIVE Nov 6 '13 at 4:34

According to the Online Encyclopedia of Integer Sequences, this is the first 6 values of $n$ of the sequence $n^3 - 5n^2 + 7n$
• No. ${}{}{}{}{}{}$ – Euler....IS_ALIVE Nov 6 '13 at 6:55