Overhanging Cards

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number of overhanging cards
Starting from the top of a deck of cards, each card is pushed over so that it just balances. The overhang for each card is half the corresponding entry in the harmonic sequence and the total overhang is given by half the partial sum of the harmonic series.

References

J. Derbyshire, Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, Washington, DC: Joseph Henry Press, 2003 pp. 3–9.

External Links

Harmonic Series (Wolfram MathWorld)
Stacking Dominoes to the Limit

Permanent Citation

Noel Patson, John Derbyshire
​
​"Overhanging Cards"​
​http://demonstrations.wolfram.com/OverhangingCards/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011