3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 … modulo 89

• An application of group theory to Navy sonar — can you generate a sequence whose 1-differences are random? (whose 1-autocorrelations are nil)

• Also the patterns look a bit like low-discrepancy sequences:
   
  
   

(Source: http://tedxtalks.ted.com/)

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Tags: autocorrelation, correlation, Evariste Galois, group theory, math, mathematics, maths, military, Navy, randomness, sequences, sonar