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We define the Square-Fibonacci sequence1, a variation of the Fibonacci sequence:

Math

  • Let f0=1,f1=1f_0 = 1, f_1 = 1
  • For i2i \geq 2, define fi:=(fi2)2+(fi1)2modqf_{i} := (f_{i-2})^2 + (f_{i-1})^2 \mod q
    • Where qq is a large prime integer. We use this modulus to bound the size of each element, so that it can be represented by some predetermined number of bits.

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Footnotes

Here’s a simple footnote,1 and here’s a longer one.2

Footnotes

  1. This is the first footnote. 2

  2. Here’s one with multiple paragraphs and code.

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