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.

A112769 Numbers with more than one prime factor and, in the ordered factorization, at least one exponent is less than the previous exponent when read from left to right.

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%I A112769 #31 Jun 25 2025 08:04:34
%S A112769 12,20,24,28,40,44,45,48,52,56,60,63,68,72,76,80,84,88,90,92,96,99,
%T A112769 104,112,116,117,120,124,126,132,135,136,140,144,148,152,153,156,160,
%U A112769 164,168,171,172,175,176,180,184,188,189,192,198,200,204,207,208,212,220
%N A112769 Numbers with more than one prime factor and, in the ordered factorization, at least one exponent is less than the previous exponent when read from left to right.
%C A112769 This sequence lists the integers x such that A085079(x) > x. - _Michel Marcus_, Jun 25 2025 and Jul 30 2015
%H A112769 Seiichi Manyama, <a href="/A112769/b112769.txt">Table of n, a(n) for n = 1..10000</a>
%e A112769 90 = 2^1 * 3^2 * 5^1 and 2 > 1, so 90 is in sequence.
%t A112769 mopfQ[n_]:=Module[{e=FactorInteger[n][[All,2]]},Length[e]>1&&Min[ Differences[ e]]<0]; Select[Range[300],mopfQ] (* _Harvey P. Dale_, May 30 2018 *)
%o A112769 (PARI) isok(n) = {f = factor(n)[,2]; if (#f > 1, for (k=2, #f, if (f[k] < f[k-1], return (1)););); return (0);} \\ _Michel Marcus_, Jul 30 2015
%Y A112769 Cf. A085079, A097318, A097319, A097320, A304678.
%K A112769 nonn
%O A112769 1,1
%A A112769 _Ray Chandler_, Sep 23 2005, based on a suggestion from _Leroy Quet_