cp's OEIS Frontend

A179884 List of twin numbers (h, h+1) such that h and h+1 have same antiharmonic mean of the numbers k < h such that gcd(k, h) = 1 and simultaneously this mean is an integer.

%I A179884 #18 May 25 2025 01:59:40
%S A179884 1,2,10,11,22,23,46,47,58,59,82,83,106,107,166,167,178,179,226,227,
%T A179884 262,263,265,266,346,347,358,359,382,383,454,455,466,467,469,470,478,
%U A179884 479,493,494,502,503,505,506,517,518,562,563,586,587,589,590,718,719,781,782
%N A179884 List of twin numbers (h, h+1) such that h and h+1 have same antiharmonic mean of the numbers k < h such that gcd(k, h) = 1 and simultaneously this mean is an integer.
%C A179884 Subsequence of A179883 and A179871.
%C A179884 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 A179884 Corresponding values of antiharmonic mean B(a(n)) are in A179886.
%F A179884 a(2*n-1) = A179877(n), a(2*n) = A179878(n) = A179877(n)+1. - _Amiram Eldar_, May 24 2025
%Y A179884 Cf. A179871, A179872, A179873, A179874, A179875, A179876, A179877, A179878, A179879, A179880, A179882, A179883, A179885, A179886, A179887, A179890, A179891.
%K A179884 nonn
%O A179884 1,2
%A A179884 _Jaroslav Krizek_, Jul 30 2010, Jul 31 2010
%E A179884 More terms from _Amiram Eldar_, May 25 2025