Keith Number - Definition

Definition

A Keith number is a positive integer N that appears as a term in a linear recurrence relation with initial terms based on its own decimal digits. Given an n-digit number

a sequence is formed with initial terms and with a general term produced as the sum of the previous n terms. If the number N appears in the sequence, then N is said to be a Keith number. One-digit numbers possess the Keith property trivially, and are usually excluded.

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