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.

A357390 Numbers k such that A071626(k) > A071626(k+1).

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%I A357390 #10 Sep 28 2022 03:53:01
%S A357390 64,113,132,151,216,247,278,309,340,371,402,422,433,469,515,558,601,
%T A357390 644,687,730,731,773,792,816,853,859,914,975,1021,1036,1094,1097,1129,
%U A357390 1156,1158,1167,1219,1240,1242,1244,1280,1313,1327,1341,1355,1386,1402,1410,1459
%N A357390 Numbers k such that A071626(k) > A071626(k+1).
%C A357390 Conjecture: This sequence has an asymptotic density 0.028..., which is the same as the asymptotic density of A357388 (see A357385).
%H A357390 Amiram Eldar, <a href="/A357390/b357390.txt">Table of n, a(n) for n = 1..10000</a>
%e A357390 64 is a term since A071626(64) = 9 > A071626(65) = 8.
%t A357390 s[n_] := Length[Union[FactorInteger[n!][[;; , 2]]]]; s[1]=0; Select[Range[1500], s[#] > s[# + 1] &]
%Y A357390 Cf. A071626, A342091, A357385, A357388.
%K A357390 nonn
%O A357390 1,1
%A A357390 _Amiram Eldar_, Sep 26 2022