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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.

A316890 Heinz numbers of integer partitions into relatively prime parts whose reciprocal sum is 1.

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%I A316890 #5 Jul 16 2018 21:47:09
%S A316890 2,195,3185,6475,10527,16401,20445,20535,21045,25365,46155,164255,
%T A316890 171941,218855,228085,267883,312785,333925,333935,335405,343735,
%U A316890 355355,414295,442975,474513,527425,549575,607475,633777,691041,711321,722425,753865,804837,822783
%N A316890 Heinz numbers of integer partitions into relatively prime parts whose reciprocal sum is 1.
%C A316890 The reciprocal sum of (y_1, ..., y_k) is 1/y_1 + ... + 1/y_k.
%C A316890 The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
%C A316890 Includes 29888089, which is the first perfect power in the sequence and is absent from A316888.
%H A316890 Gus Wiseman, <a href="/A051908/a051908.txt">Sequences counting and ranking integer partitions by their reciprocal sums</a>
%t A316890 Select[Range[2,100000],And[GCD@@PrimePi/@FactorInteger[#][[All,1]]==1,Sum[m[[2]]/PrimePi[m[[1]]],{m,FactorInteger[#]}]==1]&]
%Y A316890 Cf. A000837, A002966, A051908, A058360, A289509, A296150, A316854, A316855, A316856, A316857, A316888-A316904.
%K A316890 nonn
%O A316890 1,1
%A A316890 _Gus Wiseman_, Jul 16 2018