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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A316223 Number of subset-sum triangles with composite a subset-sum of the integer partition with Heinz number n.

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%I A316223 #5 Jun 27 2018 13:15:59
%S A316223 0,1,1,4,1,6,1,13,4,6,1,25,1,6,6,38,1,26,1,26,6,6
%N A316223 Number of subset-sum triangles with composite a subset-sum of the integer partition with Heinz number n.
%C A316223 A positive subset-sum is a pair (h,g), where h is a positive integer and g is an integer partition, such that some submultiset of g sums to h. A triangle consists of a root sum r and a sequence of positive subset-sums ((h_1,g_1),...,(h_k,g_k)) such that the sequence (h_1,...,h_k) is weakly decreasing and has a submultiset summing to r. The composite of a triangle is (r, g_1 + ... + g_k) where + is multiset union.
%e A316223 We write positive subset-sum triangles in the form rootsum(branch,...,branch). The a(8) = 13 triangles:
%e A316223   1(1(1,1,1))
%e A316223   2(2(1,1,1))
%e A316223   3(3(1,1,1))
%e A316223   1(1(1),1(1,1))
%e A316223   2(1(1),1(1,1))
%e A316223   1(1(1),2(1,1))
%e A316223   2(1(1),2(1,1))
%e A316223   3(1(1),2(1,1))
%e A316223   1(1(1,1),1(1))
%e A316223   2(1(1,1),1(1))
%e A316223   1(1(1),1(1),1(1))
%e A316223   2(1(1),1(1),1(1))
%e A316223   3(1(1),1(1),1(1))
%Y A316223 Cf. A063834, A262671, A269134, A276024, A281113, A299701, A301934, A301935, A316219, A316220, A316222.
%K A316223 nonn,more
%O A316223 1,4
%A A316223 _Gus Wiseman_, Jun 27 2018