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Four Fours. Some Arithmetical Puzzles

Published online by Cambridge University Press:  03 November 2016

W. W Rouse Ball*
Affiliation:
Trinity College, Cambridge

Extract

An arithmatical amusement, said to have been first propounded in 1881, is the expression in the expression in the ordinary arithmatic and algebric notation of the consecutive integers from 1 upwards, as far as practicable, by the use of four “ 4 ”. I have mentioned the problem in my Mathematical Recreations, but my friend Mr. Oscar Eckenstein has now carried the solutions considerly further: I think a bare statement of our procedure may be of interest, and perhaps some readers ot the Gazette may amuse themselves by filling in the details ot the analysis or applying similar methods to higher numbers.

Type
Research Article
Copyright
Copyright © The Mathematical Association 1912

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References

* Subfactorial n is Written or n ¡ and is equal to