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A179878 Numbers h 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 integer (see A179882). 17

%I #9 Aug 02 2019 21:33:34

%S 2,11,23,47,59,83,107,167,179,227,263,266,347,359,383,455,467,470,479,

%T 494,503,506,518,563,587,590,719,782,839,863,887,890,902,911,935,983,

%U 986,1019,1166,1178,1187,1235,1283,1295,1307,1319,1334,1358,1367,1394

%N Numbers h 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 integer (see A179882).

%C Corresponding values of numbers h-1 see A179877. Subsequence of A179876, A179871 and A179883.

%t With[{s = Partition[Table[Mean[#^2]/Mean[#] &@ Select[Range[n - 1], GCD[#, n] == 1 &], {n, 1400}], 2, 1]}, 1 + Position[s, _?(And[IntegerQ@ First@ #, SameQ @@ #] &), 1, Heads -> False][[All, 1]]] (* _Michael De Vlieger_, Jul 30 2018 *)

%Y Cf. A179871, A179872, A179873, A179874, A179875, A179876, A179877, A179879, A179880, A179882, A179883, A179884, A179885, A179886, A179887, A179890, A179891.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Jul 30 2010, Jul 31 2010

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