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A168133 Numbers m = sum_(k=1...n) sigma(k) such that sum_(k=1...n) sigma(k) / k is integer for any k. 4

%I #9 Mar 08 2024 01:13:43

%S 1,4,56,99,238,3276,26820,55167,550514,3842258,16222973,56731455,

%T 118396264,396379039896,9772829297132,15876697439182,2710103706735457,

%U 4438313663247000,12136546505785858,3518811208764622050

%N Numbers m = sum_(k=1...n) sigma(k) such that sum_(k=1...n) sigma(k) / k is integer for any k.

%C Numbers m = A024916(k) such that A024916(k) / k is integer for any k. If a(14) exists it must be bigger than 8*10^9.

%C Corresponding values of k, and sum_(k=1...n) sigma(k)/k are given in A056550 and A168132. [From _Jaroslav Krizek_, Nov 21 2009]

%H Donovan Johnson, <a href="/A168133/b168133.txt">Table of n, a(n) for n = 1..25</a>

%e Number a(3) = 56 = A024916(8) is in sequence because A024916(8) / 8 = 56 / 8 = 7 is integer for k = 8.

%K nonn

%O 1,2

%A _Jaroslav Krizek_, Nov 18 2009, Dec 04 2009

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)