Search: id:A001343
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%I A001343
%S A001343 1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,4,0,0,0,0,4,0,
%T A001343 0,0,0,6,0,0,0,0,6,0,0,0,0,9,0,0,0,0,9,0,0,0,0,13,0,0,0,
%U A001343 0,13,0,0,0,0,18,0,0,0,0,18,0,0,0,0,24,0,0,0,0,24,0,0,0
%N A001343 Number of (unordered) ways of making change for n cents using coins of 
               5, 10, 20, 50, 100 cents.
%D A001343 R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, 
               Reading, MA, 1990, p. 316.
%D A001343 G. P\'{o}lya and G. Szeg\"{o}, Problems and Theorems in Analysis, Springer-Verlag, 
               NY, 2 vols., 1972, Vol. 1, p. 1.
%H A001343 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=185">
               Encyclopedia of Combinatorial Structures 185</a>
%H A001343 <a href="Sindx_Mag.html#change">Index entries for sequences related to 
               making change.</a>
%p A001343 1/(1-x^5)/(1-x^10)/(1-x^20)/(1-x^50)/(1-x^100)
%t A001343 a[n_] := SeriesTerm[1/((1 - x^5)(1 - x^10)(1 - x^20)(1 - x^50)(1 - x^100)), 
               {x, 0, n}]
%Y A001343 Sequence in context: A092037 A166301 A037134 this_sequence A022882 A000089 
               A051907
%Y A001343 Adjacent sequences: A001340 A001341 A001342 this_sequence A001344 A001345 
               A001346
%K A001343 nonn
%O A001343 0,11
%A A001343 N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

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