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... follow, for k = 1,2,..., n. Thus, if the n equations (1) hold for infinitely many n, then A is a palindromic sequence. For the converse, suppose n is a positive integer for which the equations En^k in (2) hold. The equations E„th E„tl + E„t2, EnA + E^2 + En,2> • • • > £w,i + K,2 + m~ + E„t„ readily ...
... follow, for k = 1,2,..., n. Thus, if the n equations (1) hold for infinitely many n, then A is a palindromic sequence. For the converse, suppose n is a positive integer for which the equations En^k in (2) hold. The equations E„th E„tl + E„t2, EnA + E^2 + En,2> • • • > £w,i + K,2 + m~ + E„t„ readily ...