There is a single sequence of integers a2,a3,a4,a5,a6,a7such that a22!+a33!+a44!+a55!+a66!+a77!=1342, and 0≤ai<i for i=2,3,…,7.Find a2,a3,a4,a5,a6,a7.
The answers are a_2 = 0, a_3 = 1, a_4 = 2, a_5 = 0, a_6 = 2, a_6 = 3. I'll post a solution later.