Live Poll: Fibonacci Sequence Titles

I think I understand the idea, but it isn't completely obvious. Maybe you can add the numbers for each option.

I Am Sam - 1+2=3 etc.

That is an intensely complex and odd idea for a poll.

Hi, polls fans:

I know you guys do a fabulous job and the activity and number of committed people to this part of is great, but I'm not very fond of taking polls, sorry ... However, the title of this one caught my attention, and I couldn't resist checking how frequent the "Fibonacci titles" happen in the database and which ones are the longest.

The classic Fibonacci sequence starts from F(0)=0 and F(1)=1 and, as Thaal explained, subsequent numbers F(n) are obtained by adding the previous two numbers:

0 → 1 → (0+1) 1 → (1+1) 2 → (2+1) 3 → (3+2) 5 → (5+3) 8 → (8+5) 13 → (13+8) 21 → (21+13) 34...

We can extend this recursive procedure (Fibonacci-like sequences) to any other initial terms ("seeds") F(0) & F(1), thus, for instance...

I've considered four types of "Fibonacci titles" (mutually exclusive):

• "Pure": Word lengths directly follow the sequence in the right order.
  - e.g. [tt0361728] "I Am the Woman" ► 1-2-3-5
  - e.g. [tt0862945] "Man Who Killed Desdemona" ► 3-3-6-9
• "Disjointed": Word lengths follow the sequence if rearranged in increasing order.
  - e.g. [tt1378260] "A Horse Is Not a Metaphor" ► 1-5-2-3-1-8 1-1-2-3-5-8
  - e.g. [tt0221124] "The Disappearance of Kathleen Waugh" ► 3-13-2-8-5 2-3-5-8-13
  
  
• "Interleaved": Word lengths follow the sequence if consecutive repeating numbers are allowed.
  - e.g. [tt0056217] "The Man Who Shot Liberty Valance" ► 3-3-3-4-7-7 3-4-7
  - e.g. [tt2118564] "A Wish Your Heart Makes" ► 1-4-4-5-5 1-4-5
  
  
• "Lenient": Word lengths follow the sequence if unique numbers (repetitions are ignored) are rearranged in increasing order.
  - e.g. [tt10056004] "Eye for an Eye, a Tooth for a Sweet Tooth"
                ► 3-3-2-3-1-5-3-1-5-5 1-1-2-3-3-3-3-5-5-5 1-2-3-5
  - e.g. [tt12965406] "12 Messages Given to Padre Pio by Jesus About the End of the World"
                ► 2-8-5-2-5-3-2-5-5-3-3-2-3-5 2-2-2-2-3-3-3-3-5-5-5-5-5-8 2-3-5-8

These are the results (as of 24 Oct 2020):

Original titles

7,281,233 original titles.

    31,601 PURE FIBONACCI TITLES

    • 5 words: 1 title / 4 words: 584 / 3 words: 31,016
    • Longest: I... I... Yo... Mrs Chari! ► 1-1-2-3-5
    • Most frequent seeds:

    127,774 DISJOINTED FIBONACCI TITLES

    • 6 words: 14 titles / 5 words: 718 / 4 words: 13,580 / 3 words: 113,462
    • Longest: The 7 Weirdest Superstitions in Korea ► 3-1-8-13-2-5  1-2-3-5-8-13
    • Most frequent seeds:

    1,417 INTERLEAVED FIBONACCI TITLES

    • 7 words: 7 titles / 6 words: 42 / 5 words: 246 / 4 words: 1,122
    • Longest: Mars kann sich kaum gegen Charlotte behaupten ► 4-4-4-4-5-9-9  4-5-9
    • Most frequent seeds:

     45,739 LENIENT FIBONACCI TITLES

    • 16 words: 1 title / 15 words: 3 / 14 words: 4 / 13 words: 7 / 12 words: 18
      11 words: 51 / 10 words: 144 / 9 words: 393 / 8 words: 1,049 / 7 words: 2,568
      6 words: 6,402 / 5 words: 17,206 / 4 words: 17,893
    • Longest: I Am an Ox, I Am a Horse, I Am a Man, I Am a Woman
          ► 1-2-2-2-1-2-1-5-1-2-1-3-1-2-1-5  1-1-1-1-1-1-1-2-2-2-2-2-2-3-5-5  1-2-3-5
    • Most frequent seeds:

To my surprise, only one "Pure" Fibonacci title has more than 4 words, so I expanded the search to aka titles...

Alternative (AKA) titles

20,926,894 alternate titles (after excluding 2,452,043 verbatim duplicates).

    29,972 PURE FIBONACCI TITLES

    • 5 words: 3 titles / 4 words: 515 / 3 words: 29,454
    • Longest: És ne vigy minket kisértésbe! ► 2-2-4-6-10
    • Most frequent seeds:

    118,786 DISJOINTED FIBONACCI TITLES

    • 6 words: 17 titles / 5 words: 749 / 4 words: 12,836 / 3 words: 105,184
    • Longest: I Was a Prisoner in Korea ► 1-3-1-8-2-5  1-1-2-3-5-8
    • Most frequent seeds:

    1,091 INTERLEAVED FIBONACCI TITLES

    • 7 words: 7 titles / 6 words: 37 / 5 words: 186 / 4 words: 861
    • Longest: Sony Vaio Laptop 'Casino Royale' Television Commercial
          ► 4-4-6-6-6-10-10  4-6-10
    • Most frequent seeds:

    33,966 LENIENT FIBONACCI TITLES

    • 15 words: 2 / 14 words: 3 / 13 words: 1 / 12 words: 11 / 11 words: 25
      10 words: 76 / 9 words: 257 / 8 words: 619 / 7 words: 1,742 / 6 words: 4,787
      5 words: 11,468 / 4 words: 14,975
    • Longest: A Painting Painting a Painter, A Painter Painting a Painter, A Painter
        Painting a Painting ► 1-8-8-1-7-1-7-8-1-7-1-7-8-1-8 
        1-1-1-1-1-1-7-7-7-7-8-8-8-8-8  1-7-8
    • Most frequent seeds:

I know what I've just posted will be boring for many, but I hope some of you find it a bit interesting...

Cheers!!

Cool idea! Yay, fun with math. : )

'Just and idea and it's completely up to you but I'm wondering if the question works better this way:

Which movie do you think is at least as unique as the sequence?

(I'm not crazy about my idea, though. I might just be too tired today to see a better alternative it but at least right now I feel like the English language prevents the perfect question for this poll -- and the poll is great. As idiosyncratic as the English language is, the limitations are probably with me, though.)

Live Poll

https://www.imdb.com/poll/v7jOWuOj9U0/