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.

A179875 Numbers h such that h and h+1 have same antiharmonic mean of the numbers k < h such that gcd(k, h) = 1.

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%I A179875 #13 Mar 06 2021 06:24:12
%S A179875 1,6,10,22,46,58,65,69,77,82,106,129,166,178,185,194,210,221,226,237,
%T A179875 254,262,265,309,321,330,346,358,365,382,398,417,437,454,462,466,469,
%U A179875 473,478,482,493,497,502
%N A179875 Numbers h such that h and h+1 have same antiharmonic mean of the numbers k < h such that gcd(k, h) = 1.
%C A179875 Corresponding values of numbers h+1 see A179876.
%C A179875 Numbers h such that A175505(h) = A175505(h+1).
%C A179875 numbers h such that A175506(h) = A175506(h+1).
%C A179875 Antiharmonic mean B(h) of numbers k such that gcd(k, h) = 1 for numbers h >= 1 and k < h = A053818(n) / A023896(n) = A175505(h) / A175506(h).
%C A179875 Conjecture: also numbers k such that mu(k) = 1 and mu(k+1) = -1, where mu is the Möbius function (tested on the first 10^4 terms). - _Amiram Eldar_, Mar 06 2021
%H A179875 Amiram Eldar, <a href="/A179875/b179875.txt">Table of n, a(n) for n = 1..10000</a>
%e A179875 For n=3: a(3) = 10; B(10) = A175505(10) / A175506(10) = 7, B(11) = A175505(11) / A175506(11) = 7.
%Y A179875 Cf. A179871, A179872, A179873, A179874, A179876, A179877, A179878, A179879, A179880, A179882, A179883, A179884, A179885, A179886, A179887, A179890, A179891.
%K A179875 nonn
%O A179875 1,2
%A A179875 _Jaroslav Krizek_, Jul 30 2010, Jul 31 2010