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A248084 Subsequence of lesser of 3 terms of A095301 that are 2 apart. 1

%I #18 May 06 2022 13:13:51

%S 12400,151396,503800,831400,1050028,1134196,1461796,1486600,1637296,

%T 1762288,1814200,1987468,2424940,2444596,2449744,3237388,3427396,

%U 3452200,3779800,4082596,4574608,4799788,4862284,4887088,5065396,5674732,5745400,6048196,6375796

%N Subsequence of lesser of 3 terms of A095301 that are 2 apart.

%C A095301 lists integers that have a smaller friend, that is, there exists a smaller integer with same abundancy, sigma(x)/x. In A095301 there are some groups of 3 terms with a common difference of 2, motivating this sequence.

%C A search, up to 10^9, for similar groups of 4 terms provided no such instance.

%C 84346341351244 and 2652126430251504 belong to the group stated above. - _Hiroaki Yamanouchi_, Oct 16 2014

%C This sequence lists the terms A248083(n) such that A248083(n+1)=A248083(n)+2. - _M. F. Hasler_, Oct 03 2014

%e 12400 is in the sequence because 12400, 12402 and 12404, with a difference of 2 between each, are in A095301, with smaller friends: 150, 636 and 2658. As a result of this, both 12400 and 12402 can be found in A248083.

%Y Cf. A095301, A248083 (similar, with only 2 consecutive terms).

%K nonn

%O 1,1

%A _Michel Marcus_, Oct 01 2014

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Last modified April 25 12:15 EDT 2024. Contains 371969 sequences. (Running on oeis4.)