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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.

A303552 Number of periodic multisets of compositions of total weight n.

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%I A303552 #5 Apr 26 2018 17:42:05
%S A303552 0,1,1,3,1,9,1,18,7,44,1,119,1,246,48,585,1,1470,1,3248,250,7535,1,
%T A303552 18114,42,40593,1373,93726,1,218665,1,493735,7539,1127981,285,2587962,
%U A303552 1,5841445,40597,13244166,1,30047413,1,67604050,216745,152258273,1,342747130
%N A303552 Number of periodic multisets of compositions of total weight n.
%C A303552 A multiset is periodic if its multiplicities have a common divisor greater than 1.
%e A303552 The a(6) = 9 periodic multisets of compositions are:
%e A303552 {1,1,1,1,1,1},
%e A303552 {1,1,2,2}, {1,1,11,11},
%e A303552 {2,2,2}, {11,11,11},
%e A303552 {3,3}, {21,21}, {12,12}, {111,111}.
%t A303552 nn=60;
%t A303552 ser=Product[1/(1-x^n)^2^(n-1),{n,nn}]
%t A303552 Table[SeriesCoefficient[ser,{x,0,n}]-Sum[MoebiusMu[d]*SeriesCoefficient[ser,{x,0,n/d}],{d,Divisors[n]}],{n,1,nn}]
%Y A303552 Cf. A000740, A000837, A007716, A007916, A034691, A100953, A255906, A269134, A301700, A303386, A303431, A303547, A303551.
%K A303552 nonn
%O A303552 1,4
%A A303552 _Gus Wiseman_, Apr 26 2018