A212951 Amounts (in hundredths of a Euro) of coins in denominations suggested by Shallit.

1, 2, 5, 10, 20, 50, 100, 133, 200

Offset

1,2

Comments

The European Union uses eight coins - worth 1, 2, 5, 10, 20, and 50 cents, plus 1- and 2-Euro coins - with a range of values from 0 to 499. The average cost of making change in Europe, Jeffrey Shallit calculates, is 4.6 coins. The best way to lower the cost, to 3.92, would be for Europeans to add yet another coin, worth either 1.33 or 1.37 Euros (the sequence as shown uses 133, though 137 is an equally valid solution).

Links

Table of n, a(n) for n=1..9.

Alan Burdick, The Physics of ... Pocket Change. What we really need to solve the problem of loose and useless lucre is a new coin, Discover, October 2003 issue; published online October 1, 2003.

Example

1, 2, 5, 10, 20, and 50 cents, plus 1- and 2-Euro coins (100 and 200 cents), and the proposed 1.33-Euro coin (133 cents).

Crossrefs

Cf. A212773, A212774, A008588, A008593, A008597, A008598, A135631.

Cf. A208953 (analog for American coins).

Cf. A212950 (analog for Canadian coins).

Sequence in context: A330456 A352120 A176692 * A051109 A124146 A262408

Adjacent sequences: A212948 A212949 A212950 * A212952 A212953 A212954

Keyword

nonn,fini,full

Author

Jonathan Vos Post, May 31 2012

Status

approved