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.

Read more about this topic:  Keith Number

Famous quotes containing the word definition:

    Scientific method is the way to truth, but it affords, even in
    principle, no unique definition of truth. Any so-called pragmatic
    definition of truth is doomed to failure equally.
    Willard Van Orman Quine (b. 1908)

    It is very hard to give a just definition of love. The most we can say of it is this: that in the soul, it is a desire to rule; in the spirit, it is a sympathy; and in the body, it is but a hidden and subtle desire to possess—after many mysteries—what one loves.
    François, Duc De La Rochefoucauld (1613–1680)

    It’s a rare parent who can see his or her child clearly and objectively. At a school board meeting I attended . . . the only definition of a gifted child on which everyone in the audience could agree was “mine.”
    Jane Adams (20th century)