Fibonacci sequence

A Fibonacci sequence was a sequence of numbers that included 34, 55, and 89. (PROSE: Daisy Chain) The Twelfth Doctor identified 55 as the tenth Fibonacci number. (TV: Flatline)

According to Saul, daisies had petal numbers in line with the Fibonacci sequence. (PROSE: Daisy Chain)

When Professor Jeffrey Broderick received a bottle of malt laced with a hallucinogen from Sir Toby Kinsella in 1964, it caused him to recite the Fibonacci sequence ad infinitum in order to keep himself occupied. (AUDIO: Artificial Intelligence)

The Weave's life cycle was similar to a Fibonacci sequence, with each name a successive number added to the last. When the Eleventh Doctor met a Weave named 6011, she confirmed that the Weave before her was 3715, and the one after her was 9726. (PROSE: The Glamour Chase)

Whilst resisting the Keltin's gas, Adric first recited prime numbers before reciting the Fibonacci sequence. (AUDIO: The Star Men)

Behind the scenes

• Though unremarked in Daisy Chain or Flatline, the first eight Fibonacci numbers are 1, 1, 2, 3, 5, 8, 13 and 21.
• 6011 is the sixteenth number of a Fibonacci-type sequence which starts with 3 and 8.
• Fibonacci numbers were named after the Italian mathematician Fibonacci.