Problem 2423. Integer Sequence - II : New Fibonacci

Created by rifat

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<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 374px 8px; transform-origin: 374px 8px; unicode-bidi: normal; "><span style="">Crack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also part of original Fibonacci Sequence)</span></span></div></div></div>

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1370 Solutions
436 Solvers

Last Solution submitted on Sep 20, 2023

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9 Comments

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David Verrelli on 13 Mar 2018

Aamod Garg, it is not appropriate to effectively publish the solution as a comment. The instruction asks Players to "crack" the sequence. —DIV [Can some Admin possibly please delete Aamod Garg's comment?]

Benjamin Richards on 28 Oct 2019

The Integer Sequence isn't shown for some reason.

Igor Kheyfets on 5 Oct 2020

I don't see an integer sequence here

Li Ding on 10 Oct 2020

The integer sequence is not shown (at least for me), but you can get the idea from the test cases. Here is the sequence, if you are looking for it: 1, 1, 1, 2, 5, 21, 233, 10946, 5702887...

These numbers are from the original Fibonacci sequence. To crack it, you'll need to find the relationship between these numbers and their indices.

Anton Casas on 28 Oct 2020

Probably the most satisfactory problem I've encountered this far. Wonderful!

Jiseon Shin on 2 Nov 2020

Enjoyed :-)

Christos on 13 Jul 2022

That was a really cool sequence :)

Brandon on 9 May 2023

This sequence makes no sense. The third number in the sequence (n) relies on the second number (n-1), and the previous to that Fibonacci number (n-2). Using 1 and 1 for these numbers, I get 2 for the THIRD number in this sequence.

Christian Schröder on 9 May 2023

@Brandon It's not the Fibonacci sequence, it's a sequence _based_ thereon. Please feel free to take a look at other players' correct solutions to see what the intended solution was.

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