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.

A248175 Least positive integer m such that m + n divides q(m*n), where q(.) is the strict partition function given by A000009.

This page as a plain text file.
%I A248175 #6 Oct 03 2014 10:12:08
%S A248175 11,4,9,2,12,10,9,16,3,6,1,5,2,18,7,8,5,14,11,36,2,34,4,8,31,6,15,36,
%T A248175 23,2,9,14,17,22,11,18,1,22,11,7,1,22,12,7,55,7,19,40,15,6,31,12,43,
%U A248175 10,25,40,7,91,61,20
%N A248175 Least positive integer m such that m + n divides q(m*n), where q(.) is the strict partition function given by A000009.
%C A248175 Conjecture: (i) a(n) exists for any n > 0.
%C A248175 (ii) For each n > 0, there is a positive integer m such that m + n divides q(m) + q(n).
%H A248175 Zhi-Wei Sun, <a href="/A248175/b248175.txt">Table of n, a(n) for n = 1..405</a>
%e A248175 a(3) = 9 since 9 + 3 = 12 divides q(9*3) = 192 = 12*16.
%t A248175 Do[m=1;Label[aa];If[Mod[PartitionsQ[m*n],m+n]==0,Print[n," ",m];Goto[bb]];m=m+1;Goto[aa];Label[bb];Continue,{n,1,60}]
%Y A248175 Cf. A000009, A247824, A248004, A248143, A248144.
%K A248175 nonn
%O A248175 1,1
%A A248175 _Zhi-Wei Sun_, Oct 03 2014