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Some odd permutations

Published online by Cambridge University Press:  01 August 2016

Barry Lewis
Barry Lewis*
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Flat 1, 110 Highgate Hill, London N6 5HE
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I recently stumbled on an identity (Theorem 2) that related two types of permutations. It looked like one of those serendipitous pieces of mathematics that led to a simple enumerative result; mostly when this happens it leads joyously to an enumerative proof that was ‘blindingly’ obvious. Except in this case, it wasn’t, I don’t think.

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Articles
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The Mathematical Gazette , Volume 93 , Issue 528 , November 2009 , pp. 441 - 448
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Copyright © The Mathematical Association 2009

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References

1. Lewis, B., Beyond the Euler summation formula, Math. Gaz., 88 (November 2004) pp. 432–440.10.1017/S0025557200176065CrossRefGoogle Scholar
2. Graham, R. L., Knuth, D. E. and Patashnik, O., Concrete mathematics (2nd edn.), Addison-Wesley (1989).Google Scholar
3. Honsberger, Ross, Mathematical Gems III, Mathematical Association of America (1985).10.1090/dol/009CrossRefGoogle Scholar