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:

    “... if, as women, we accept a philosophy of history that asserts that women are by definition assimilated into the male universal, that we can understand our past through a male lens—if we are unaware that women even have a history—we live our lives similarly unanchored, drifting in response to a veering wind of myth and bias.”
    —Adrienne Rich (b. 1929)

    “... we all know the wag’s definition of a philanthropist: a man whose charity increases directly as the square of the distance.”
    —George Eliot [Mary Ann (or Marian)

    “One definition of man is “an intelligence served by organs.””
    —Ralph Waldo Emerson (1803–1882)