This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A208953 #41 Aug 12 2023 00:23:54 %S A208953 1,5,10,18,25,50 %N A208953 Amounts (in cents) of coins in denominations suggested by Shallit. %C A208953 The following is quoted (with minor changes) from Alan Burdick's article: "Jeffrey Shallit analyzed the average handful of change, and devised a clever way to reduce its size. Getting rid of the 1-cent coin, a plot advocated by numerous antipennyists, would certainly help, he says. But Shallit's own scheme for reducing loose change involves the creation of an entirely new coin. What the United States needs, he says, is an 18-cent piece. Shallit reached this conclusion by a linear Diophantine equation. Shallit calculated that the average U.S. transaction produces 4.7 coins in change. If we got rid of the dime and replaced it with an 18-cent coin, the 'cost' of the average transaction would drop from 4.7 to 3.89 coins. A system of coins worth 1¢, 5¢, 18¢, and 29¢ would have the same effect. Should we wish to keep the dime and simply add a fifth denomination, the best coin to add would be 32¢, for an efficiency of 3.46. Even better, if we kept the dime and actually used the half-dollar, then added an 18-cent coin to that mix, we'd gain maximum efficiency: You'd get back a mere 3.18 coins per transaction." %H A208953 Alan Burdick, <a href="https://www.discovermagazine.com/the-sciences/the-physics-of-pocket-change">The Physics of ... Pocket Change</a>, Discover, October 2003 issue; published online October 1, 2003. %H A208953 Thomas Young, <a href="/A208953/a208953.pdf">Change the Dime not the Dollar!</a>, preprint, 1995. %Y A208953 Cf. A212773, A212774. %Y A208953 See A364607 for another version. - _N. J. A. Sloane_, Aug 12 2023 %K A208953 nonn,fini,full %O A208953 1,2 %A A208953 _Jonathan Vos Post_, May 31 2012