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.

A318953 Maximum Heinz number of a strict factorization of n into factors > 1.

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%I A318953 #7 Sep 07 2018 04:44:08
%S A318953 1,3,5,7,11,15,17,21,23,33,31,39,41,51,55,57,59,69,67,87,85,93,83,111,
%T A318953 97,123,115,129,109,165,127,159,155,177,187,195,157,201,205,231,179,
%U A318953 255,191,237,253,249,211,285,227,319,295,303,241,345,341,357,335,327
%N A318953 Maximum Heinz number of a strict factorization of n into factors > 1.
%C A318953 The Heinz number of a factorization (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
%e A318953 The strict factorizations of 80 are (2*4*10), (2*5*8), (2*40), (4*20), (5*16), (8*10), (80), with Heinz numbers 609, 627, 519, 497, 583, 551, 409 respectively, so a(80) = 627.
%t A318953 facs[n_]:=If[n<=1,{{}},Join@@Table[(Prepend[#1,d]&)/@Select[facs[n/d],Min@@#1>=d&],{d,Rest[Divisors[n]]}]];
%t A318953 Table[Max[Times@@Prime/@#&/@Select[facs[n],UnsameQ@@#&]],{n,100}]
%Y A318953 Cf. A001055, A007716, A045778, A056239, A080688, A162247, A215366, A246868, A318871, A318954.
%K A318953 nonn
%O A318953 1,2
%A A318953 _Gus Wiseman_, Sep 05 2018