cp's OEIS Frontend

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.

A114140 Number of ordered sequences of coins (each of which has value 1, 2, 5, 10 or 20) which add to n.

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%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