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A208217 Number of ways of making change for n cents using coins of 1, 5, 10, 25, 50, and 100 cents, where each coin that appears is used a different number of times.

%I A208217 #13 Apr 25 2012 12:17:40
%S A208217 1,1,1,1,1,2,1,2,2,2,4,3,3,4,4,5,5,5,4,5,8,7,6,8,7,12,9,11,11,12,14,
%T A208217 14,15,14,14,20,16,18,18,20,25,24,23,24,24,32,27,30,31,30,40,38,37,40,
%U A208217 38,48,44,48,46,49,57,54,54,58,59,72,63,68,67,70,83,80
%N A208217 Number of ways of making change for n cents using coins of 1, 5, 10, 25, 50, and 100 cents, where each coin that appears is used a different number of times.
%H A208217 Alois P. Heinz, <a href="/A208217/b208217.txt">Table of n, a(n) for n = 0..1000</a>
%H A208217 Doron Zeilberger, <a href="http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/dmp.html">Using Generatingfunctionology to enumerate distinct-multiplicity partitions</a>.
%e A208217 For n=6 the a(6)=1 solution is six copies of the 1-cent coin. (Taking one 1-cent coin and one 5-cent coin is not allowed, as those two coins have the same nonzero multiplicity.)
%p A208217 # for a g.f. in Maple format see the Doron Zeilberger link.
%Y A208217 Cf. A169718, A208216.
%K A208217 nonn
%O A208217 0,6
%A A208217 _Matthew C. Russell_, Apr 24 2012