The Narcissistic Numbers are just a toy in number theory. They are defined as follows: given a number M = d1d2...dn, M is said to be "Narcissistic" if and only if: d1^n + d2^n + ... + dn^n = M. For example, 153 is a very well-known Narcissistic Number since 1^3 + 5^3 + 3^3 = 153. There is a Numberphile video that talks about this number too. These numbers, unlike many other sequences in Math, are finite: there are only 89 of those numbers, all listed here . In this post I'll consider two other related sequences of numbers, but not as "glamorous" as Narcissistic Numbers. The sequences will be the Quasi-Narcissistic-Numbers or QNN, and the Retro-Narcissistic-Numbers or RNN. Let's define QNN first. A number M=d1d2...dn is said to be a QNN if and only if: a) It is not a Narcissistic Number b) It follows the same properties as the Narcissistic Numbers except that one, and only one, of the exponents in d1^n + d2^n + ... + dn^n is off by one. Wh