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.

A114044 Number of (ordered) sequences of coins (each of which has value 1, 5, 10, 25, 50 or 100) which add to n.

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%I A114044 #20 Feb 28 2018 11:30:46
%S A114044 1,1,1,1,1,2,3,4,5,6,9,13,18,24,31,42,58,80,109,146,197,268,366,499,
%T A114044 676,916,1243,1690,2299,3122,4237,5751,7811,10614,14418,19580,26587,
%U A114044 36106,49043,66614,90473,122869,166866,226632,307810,418060,567784,771122,1047296,1422396
%N A114044 Number of (ordered) sequences of coins (each of which has value 1, 5, 10, 25, 50 or 100) which add to n.
%C A114044 Based on US coins as of Feb 22 2006.
%C A114044 a(n) is the number of compositions (ordered partitions) of n into parts 1, 5, 10, 25, 50, and 100. - _Joerg Arndt_, Apr 19 2017
%H A114044 Vincenzo Librandi, <a href="/A114044/b114044.txt">Table of n, a(n) for n = 0..2000</a>
%F A114044 G.f.: 1/(1-(x + x^5 + x^10 + x^25 + x^50 + x^100)).
%t A114044 CoefficientList[Series[1/(1 - (x + x^5 + x^10 + x^25 + x^50 + x^100)), {x, 0, 50}], x] (* _Wesley Ivan Hurt_, Apr 18 2017 *)
%Y A114044 Cf. A114138, A073031, A114140.
%K A114044 nonn,easy
%O A114044 0,6
%A A114044 _David S. Johnson_ and _N. J. A. Sloane_, Feb 22 2006