Fibonacci Word - Closed-form Expression For Individual Digits

Closed-form Expression For Individual Digits

The nth digit of the word is where is the golden ratio and is the floor function (sequence A003849 in OEIS).

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Famous quotes containing the words expression and/or individual:

    “This is the great truth life has to teach us ... that gratification of our individual desires and expression of our personal preferences without consideration for their effect upon others brings in the end nothing but ruin and devastation.”
    —Hortense Odlum (1892–?)

    “When a village ceases to be a community, it becomes oppressive in its narrow conformity. So one becomes an individual and migrates to the city. There, finding others likeminded, one re- establishes a village community. Nowadays only New Yorkers are yokels.”
    —Paul Goodman (1911–1972)