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.

A091697 Values of m corresponding to members of A088966.

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%I A091697 #11 Jul 18 2025 07:38:48
%S A091697 2,3,5,9,17,33,35,65,129,257,513,1025,2049,4097,8193,16385,32769,
%T A091697 65537,131073,262145,524289,1048577
%N A091697 Values of m corresponding to members of A088966.
%C A091697 For every k >= 0, 2^k + 1 is in the sequence.
%H A091697 Christian Hercher, <a href="https://arxiv.org/abs/2506.01099">On one of Erdős' Problems - An Efficient Search for Benelux Pairs</a>, arXiv:2506.01099 [math.NT], 2025. See pp. 2, 13.
%e A091697 a(2) = 3, corresponding to A088966(2) = 8 because A007947(8) = A007947(3+1) and A007947(3) = A007947(8+1).
%p A091697 rad:= n -> convert(numtheory:-factorset(n), `*`):
%p A091697 count:= 0: lastr:= rad(1):
%p A091697 for n from 2 to 10^7 do
%p A091697   newr:= rad(n);
%p A091697   P[lastr, newr]:= n-1;
%p A091697   if assigned(P[newr, lastr]) then
%p A091697     count:= count+1; A[count]:= n-1; M[count]:= P[newr, lastr];
%p A091697   fi;
%p A091697   lastr:= newr;
%p A091697 od:
%p A091697 seq(M[n], n=1..count); # _Robert Israel_, Aug 11 2014
%K A091697 more,nonn,less
%O A091697 1,1
%A A091697 _David Wasserman_, Jan 29 2004
%E A091697 a(13) from _Robert Israel_, Aug 11 2014
%E A091697 a(14)-a(22) from Hercher's paper by _Martin Fuller_, Jul 18 2025