cp's OEIS Frontend

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.

A301988 Nonprime Heinz numbers of integer partitions whose product is equal to their sum.

This page as a plain text file.
%I A301988 #5 Apr 08 2018 20:10:49
%S A301988 9,30,84,108,200,264,624,1120,1440,1632,3648,7040,8832,12544,16128,
%T A301988 20736,22272,33280,47616,76800,113664,157696,174080,202752,251904,
%U A301988 528384,778240,1155072,1490944,1916928,2605056,3440640,3768320,3964928,4423680,5799936
%N A301988 Nonprime Heinz numbers of integer partitions whose product is equal to their sum.
%C A301988 The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
%e A301988 Sequence of reversed integer partitions begins: (22), (123), (1124), (11222), (11133), (11125), (111126), (1111134), (11111223), (1111127), (11111128), (111111135), (111111129), (1111111144), (11111111224), (111111112222).
%t A301988 primeMS[n_]:=If[n===1,{},Flatten[Cases[FactorInteger[n],{p_,k_}:>Table[PrimePi[p],{k}]]]];
%t A301988 Select[Range[200000],!PrimeQ[#]&&Total[primeMS[#]]===Times@@primeMS[#]&]
%Y A301988 Cf. A001055, A002865, A003963, A056239, A276024, A284640, A296150, A299701, A301957, A301987.
%K A301988 nonn
%O A301988 1,1
%A A301988 _Gus Wiseman_, Mar 30 2018