Search: id:A079126
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%I A079126
%S A079126 1,0,1,0,0,1,0,0,1,2,0,0,0,1,2,0,0,0,1,2,3,0,0,0,1,2,3,4,0,0,0,0,2,3,4,
%T A079126 5,0,0,0,0,1,3,4,5,6,0,0,0,0,1,3,5,6,7,8,0,0,0,0,1,3,5,7,8,9,10,0,0,0,
               0,
%U A079126 0,2,5,7,9,10,11,12,0,0,0,0,0,2,5,8,10,12,13,14,15,0,0,0,0,0,1,4,8,11
%N A079126 Triangle T(n,k) of numbers of partitions of n into distinct positive 
               integers <= k, 0<=k<=n.
%C A079126 T(n,n) = A000009(n), right side of the triangle;
%C A079126 T(n,k)=0 for n>0 and k<A002024(n); T(prime(n),n) = A067953(n) for n>0.
%H A079126 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PartitionFunctionQ.html">Partition Function Q</a>.
%F A079126 T(n, k)=b(0, n, k), where b(m, n, k)=1+sum(b(i, j, k): m<i<j<k and i+j=n).
%F A079126 T(n, k) = coefficient of x^n in Product_{i=1..k} (1+x^i). - Vladeta Jovovic 
               (vladeta(AT)eunet.rs), Aug 07 2003
%Y A079126 Cf. A000009, A079122, A035294, A079124, A079125.
%Y A079126 Differs from A026840 in having extra zeros at the ends of the rows.
%Y A079126 Sequence in context: A025086 A035699 A132406 this_sequence A025891 A120630 
               A089605
%Y A079126 Adjacent sequences: A079123 A079124 A079125 this_sequence A079127 A079128 
               A079129
%K A079126 nonn,tabl
%O A079126 0,10
%A A079126 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 27 2002

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