%I A001302
%S A001302 1,1,2,2,3,4,5,6,7,8,11,12,15,16,19,22,25,28,31,34,40,43,
%T A001302 49,52,58,65,71,78,84,91,102,109,120,127,138,151,162,175,
%U A001302 186,199,217,230,248,261,279,300,318,339,357,378,407,428
%N A001302 Number of ways of making change for n cents using coins of 1, 2, 5, 10, 
               25, 50 cents.
%D A001302 R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, 
               Reading, MA, 1990, p. 316.
%D A001302 G. P\'{o}lya and G. Szeg\"{o}, Problems and Theorems in Analysis, Springer-Verlag, 
               NY, 2 vols., 1972, Vol. 1, p. 1.
%H A001302 H. Bottomley, <a href="a8.gif">Initial terms of A000008, A001301, A001302, 
               A001312, A001313</a>
%H A001302 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=178">
               Encyclopedia of Combinatorial Structures 178</a>
%H A001302 <a href="Sindx_Mag.html#change">Index entries for sequences related to 
               making change.</a>
%p A001302 1/(1-x)/(1-x^2)/(1-x^5)/(1-x^10)/(1-x^25)/(1-x^50)
%t A001302 CoefficientList[ Series[ 1 / ((1 - x)(1 - x^2)(1 - x^5)(1 - x^10)(1 - 
               x^25)(1 - x^50)), {x, 0, 55} ], x ]
%Y A001302 Sequence in context: A000008 A001312 A001301 this_sequence A001313 A057537 
               A065459
%Y A001302 Adjacent sequences: A001299 A001300 A001301 this_sequence A001303 A001304 
               A001305
%K A001302 nonn
%O A001302 1,3
%A A001302 N. J. A. Sloane (njas(AT)research.att.com).