A Puzzle - Algorithm Needed or Involved?

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SUMMARY

The discussion centers on finding an algorithm to predict the next number in a sequence of six two-digit numbers: 14, 21, 33, 41, 56, and 68. The user has 45 instances of these numbers arranged in various permutations and seeks a formula to calculate the next sequence, the forty-sixth. Two potential approaches are identified: utilizing a permutation generator and exploring modulus operations to derive the next number in the series.

PREREQUISITES
  • Understanding of permutation algorithms
  • Familiarity with modulus operations in mathematics
  • Basic knowledge of algorithm design
  • Experience with number sequences and patterns
NEXT STEPS
  • Research permutation generation algorithms
  • Explore modulus arithmetic applications in sequence prediction
  • Study algorithm design principles for number sequences
  • Investigate existing mathematical formulas for predicting number patterns
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This discussion is beneficial for mathematicians, algorithm developers, and puzzle enthusiasts interested in sequence prediction and algorithmic problem-solving.

wemack88
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I am trying to solve a puzzle. How do I find an algorithm (or a formula) behind a series of six two-digit numbers? (The numbers are as follows: 14, 21, 33, 41, 56, 68.) The two-digit numbers, although different from one another, are always the same ones given. Each time they are rearranged differently. I have been given 45 instances of these six two-digit numbers. I need to calculate the next sequence, the forty-sixth.

Is there a formula (an algorithm) to determine the answer?
Any help warmly received.
 
Physics news on Phys.org
lots of algorithms you could attempt to use to solve this...
The two problems this puzzle might be that come to mind are
[0] the sequence maybe a permutation generator.
[1] something to do with modulus.
 

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