Evolution of Finite Sequences of Integers

Evolution of Finite Sequences of Integers

In the March 1996 issue of the Gazette , [p. 36] the following conjecture by Sir Bryan Thwaites appeared: ‘Take any set of n rational numbers. Form another set by taking the positive differences of successive members of the first set, the last such difference being formed from the last and first mem...

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Veröffentlicht in:Mathematical gazette 1996-07, Vol.80 (488), p.322-332
1. Verfasser: Pompili, Fulvio
Format: Artikel
Sprache:eng
Schlagworte:
Binomial coefficients
Binomials
Coefficients
Integers
Mathematical sequences
Matrices
Maximum value
Periodicity
Rational numbers
Zero
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Zusammenfassung:In the March 1996 issue of the Gazette , [p. 36] the following conjecture by Sir Bryan Thwaites appeared: ‘Take any set of n rational numbers. Form another set by taking the positive differences of successive members of the first set, the last such difference being formed from the last and first members of the original set. Iterate. Then in due course the set so formed will consist entirely of zeroes if and only if n is a power of two.’
ISSN:0025-5572
2056-6328
DOI:10.2307/3619566