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.

A100306 Numbers for which the values of the Moebius function (A008683) and the Mertens function (A002321) agree.

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%I A100306 #30 Dec 22 2024 12:10:43
%S A100306 1,3,40,41,59,66,94,102,146,150,151,160,161,164,165,167,215,232,233,
%T A100306 236,237,239,255,330,332,333,334,354,356,357,359,363,364,365,367,394,
%U A100306 402,404,405,406,408,409,414,415,420,421,423,424,425,426,428,429,538,542
%N A100306 Numbers for which the values of the Moebius function (A008683) and the Mertens function (A002321) agree.
%H A100306 Donovan Johnson, <a href="/A100306/b100306.txt">Table of n, a(n) for n = 1..10000</a>
%H A100306 PrimeFan, <a href="http://primefan.tripod.com/EsotericIntegerSequences.html">Esoteric Integer Sequences</a>
%H A100306 PrimeFan, <a href="/A031214/a031214.pdf">Esoteric Integer Sequences</a> [Cached copy]
%p A100306 with(numtheory): p:=proc(n) if mobius(n)=sum(mobius(k),k=1..n) then n else fi end: seq(p(n),n=1..700); # _Emeric Deutsch_, Feb 14 2005
%t A100306 Select[Range[500], Plus @@ MoebiusMu[Range[#]] == MoebiusMu[#] &] (* _Carl Najafi_, Aug 17 2011 *)
%o A100306 (PARI) s=0; for(n=1,1e4, s+=t=moebius(n); if(t==s, print1(n", "))) \\ _Charles R Greathouse IV_, Jan 28 2014
%Y A100306 Cf. A100765, A100766, A100767.
%K A100306 nonn
%O A100306 1,2
%A A100306 _N. J. A. Sloane_, Dec 30 2004
%E A100306 More terms from _Emeric Deutsch_, Feb 14 2005