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.

A100766 Numbers for which the values of the Moebius function (A008683) and the Mertens function (A002321) are both 0.

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%I A100766 #19 Dec 22 2024 12:14:09
%S A100766 40,150,160,164,232,236,332,333,356,363,364,404,405,408,414,420,423,
%T A100766 424,425,428,608,636,637,796,812,824,825,850,884,896,904,916,920,1014,
%U A100766 1220,1256,1280,1292,1300,1336,1492,1519,1520,1521,1524,1525,1528,1532,1544
%N A100766 Numbers for which the values of the Moebius function (A008683) and the Mertens function (A002321) are both 0.
%C A100766 This sequence is a subset of A100306, numbers for which the values of the Moebius function and the Mertens function agree and, in a different way, a subset of A028442, zeros of the Mertens function. There are no prime numbers in this sequence.
%C A100766 Numbers k such that k-1 and k are consecutive zeros of the Mertens function. - _Amiram Eldar_, Jun 13 2020
%H A100766 Donovan Johnson, <a href="/A100766/b100766.txt">Table of n, a(n) for n = 1..10000</a>
%H A100766 PrimeFan, <a href="http://primefan.tripod.com/EsotericIntegerSequences.html">Esoteric Integer Sequences</a>
%H A100766 PrimeFan, <a href="/A031214/a031214.pdf">Esoteric Integer Sequences</a> [Cached copy]
%t A100766 (* If not already defined *) If[Names["Mertens"] == {}, Mertens[x_] := Plus @@ MoebiusMu[Range[1, x]]]; Select[Range[2500], MoebiusMu[ # ] == 0 && Mertens[ # ] == 0 &]
%Y A100766 Cf. A100306, A100765, A100767.
%K A100766 nonn
%O A100766 1,1
%A A100766 _Alonso del Arte_, Jan 03 2005
%E A100766 Offset corrected by _Donovan Johnson_, Jun 19 2012