%I A034092
%S A034092 0,0,0,0,0,0,1,1,2,3,4,5,7,8,10,12,14,16,19,21,24,27,30,33,37,40,44,48,
%T A034092 52,56,61,65,70,75,80,85,91,96,102,108,114,120,127,132,138,143,148,152,
%U A034092 157,160,164,167,170,172,175,176,178,179,180,180,181,180,180,179,178
%N A034092 Number of partitions of n into 3 distinct parts from [ 1,39 ].
%C A034092 Useful for lottery players playing TAKE 5 in NY (1...39).
%F A034092 Coefficient of t^3 in (1+tx)(1+tx^2)(1+tx^3)...(1+tx^39).
%e A034092 a(6)=1, since 6 = 1+2+3.
%t A034092 CoefficientList[Coefficient[Product[1+t*x^i,{i,39}],t^3],x] [From Ray 
               Chandler (rayjchandler(AT)sbcglobal.net), Dec 16 2008]
%Y A034092 Sequence in context: A034161 A034162 A034163 this_sequence A001399 A069905 
               A008761
%Y A034092 Adjacent sequences: A034089 A034090 A034091 this_sequence A034093 A034094 
               A034095
%K A034092 nonn,easy
%O A034092 0,9
%A A034092 Edwin Carrasquillo (ecmail(AT)idt.net)
%E A034092 Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 16 2008