Search: id:A001319
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%I A001319
%S A001319 1,0,1,0,1,1,1,1,1,1,3,1,3,1,3,3,3,3,3,3,7,3,7,3,7,7,7,
%T A001319 7,7,7,13,7,13,7,13,13,13,13,13,13,22,13,22,13,22,22,22,
%U A001319 22,22,22,35,22,35,22,35,35,35,35,35,35,53,35,53,35,53
%N A001319 Number of (unordered) ways of making change for n cents using coins of 
               2, 5, 10, 20, 50 cents.
%D A001319 R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, 
               Reading, MA, 1990, p. 316.
%D A001319 G. P\'{o}lya and G. Szeg\"{o}, Problems and Theorems in Analysis, Springer-Verlag, 
               NY, 2 vols., 1972, Vol. 1, p. 1.
%H A001319 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=184">
               Encyclopedia of Combinatorial Structures 184</a>
%H A001319 <a href="Sindx_Mag.html#change">Index entries for sequences related to 
               making change.</a>
%p A001319 1/(1-x^2)/(1-x^5)/(1-x^10)/(1-x^20)/(1-x^50)
%t A001319 a[n_] := SeriesTerm[1/((1 - x^2)(1 - x^5)(1 - x^10)(1 - x^20)(1 - x^50)), 
               {x, 0, n}]
%Y A001319 First differences of A001313.
%Y A001319 Sequence in context: A087822 A163378 A025810 this_sequence A110919 A109599 
               A066839
%Y A001319 Adjacent sequences: A001316 A001317 A001318 this_sequence A001320 A001321 
               A001322
%K A001319 nonn
%O A001319 0,11
%A A001319 N. J. A. Sloane (njas(AT)research.att.com).

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