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The video discusses a problem involving an increasing sequence of non-negative integers. For each integer 'n', there is a unique triple 'i', 'j', 'k' such that 'n' equals 'a sub i' plus 2 times 'a sub j' plus 4 times 'a sub k'. The task is to find 'a sub of 1998' in the sequence. The generating function and convolution of the product of the series are considered in solving this problem. The sequence is rewritten as 'p x square' equal to the sum of 'x x to the a sub k', and 'p x to the fourth' is also identified in a similar manner.
