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 A114140 #9 Sep 19 2014 02:27:23 %S A114140 1,1,2,3,5,9,15,26,44,75,129,220,377,644,1101,1883,3219,5505,9412, %T A114140 16093,27518,47051,80453,137563,235215,402188,687688,1175860,2010567, %U A114140 3437810,5878212,10050981,17185883,29385638,50245647,85913568,146901103,251181919 %N A114140 Number of ordered sequences of coins (each of which has value 1, 2, 5, 10 or 20) which add to n. %C A114140 Equivalently, number of sequences of coins (each of which has value 5, 10, 25, 50 or 100) which add to 5n. %C A114140 Based on "silver" US coins as of Feb 22 2006. %C A114140 Number of compositions of n into parts 1, 2, 5, 10, and 20. - _Joerg Arndt_, Sep 19 2014 %F A114140 G.f.: 1/(1-(x+x^2+x^5+x^10+x^20)). %p A114140 A114140 := proc(n) %p A114140 coeftayl( 1/(1-(x+x^2+x^5+x^10+x^20)), x=0, n); %p A114140 end proc: %p A114140 seq(A114140(n), n=0..30); # _Wesley Ivan Hurt_, Sep 18 2014 %t A114140 CoefficientList[Series[1/(1 - (x + x^2 + x^5 + x^10 + x^20)), {x, 0, 30}], x] (* _Wesley Ivan Hurt_, Sep 18 2014 *) %Y A114140 Cf. A073031, A114044, A114138. %K A114140 nonn %O A114140 0,3 %A A114140 _David S. Johnson_ and _N. J. A. Sloane_, Feb 22 2006