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Download as PDF; Printable version; ... the Fibonacci sequence is a sequence in which ... an approximation of the golden spiral created by drawing circular arcs ...
Integer sequence; Laurent series; Lauricella hypergeometric series; List of integer sequences; Lucas number; Löschian number; Metallic mean; Patterns in nature; Pell number; Pentagonal number; Periodic sequence; Polygonal number; Power of 10; Power of three; Power of two; Power series; Puiseux series; Riemann's differential equation; Riemann ...
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Date/Time Dimensions User Comment 2006-10-05 05:08: 988×611× (12078 bytes) Dicklyon: Heavier strokes on spiral so it will show up without being so big.
Fibonacci instead would write the same fraction to the left, i.e., . Fibonacci used a composite fraction notation in which a sequence of numerators and denominators shared the same fraction bar; each such term represented an additional fraction of the given numerator divided by the product of all the denominators below and to the right of it.
For generalized Fibonacci sequences (satisfying the same recurrence relation, but with other initial values, e.g. the Lucas numbers) the number of occurrences of 0 per cycle is 0, 1, 2, or 4. The ratio of the Pisano period of n and the number of zeros modulo n in the cycle gives the rank of apparition or Fibonacci entry point of n.
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