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Larger member of friendly pairs ordered by smallest maximal element.
16

%I #31 Oct 10 2015 14:30:21

%S 28,140,200,224,234,270,308,364,476,496,496,532,600,644,672,700,812,

%T 819,868,936,1036,1148,1170,1204,1316,1400,1484,1488,1488,1540,1638,

%U 1638,1638,1652,1708,1800,1820,1876,1988,2016,2044,2200,2212,2324

%N Larger member of friendly pairs ordered by smallest maximal element.

%C Perfect numbers greater than 6 (A000396) belong to this sequence as they form friendly pairs with smaller perfect, so that the n-th perfect number will appear n-1 times in the sequence. - _Michel Marcus_, Dec 03 2013

%C If we remove duplicates from the sequence we get A095301. - _Jeppe Stig Nielsen_, Jul 08 2015

%C It is possible to derive a friendly pair from 2 existing pairs (a_n,b_n) and (a_k,b_k); if (a_n,b_k) and (a_k,b_n) (resp. (a_k,b_k) and (a_n,b_n)) are coprime, then (a_n*b_k,a_k*b_n) (resp. (a_k*b_k,a_n*b_n)) is a friendly pair. For instance one can derive (32760,30240) from (819,135) and (224,40). Moreover, since 32760/35 and 30240/35 are both coprime to 35, one can also derive the primitive friendly pair (936,864). - _Michel Marcus_, Oct 09 2015

%H Donovan Johnson, <a href="/A050973/b050973.txt">Table of n, a(n) for n = 1..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FriendlyPair.html">Friendly Pair</a>.

%o (PARI) lista(nn) = {for (n=1, nn, ab = sigma(n)/n; for (i=2, n-1, if (sigma(i)/i == ab, print1(n, ", "));););} \\ _Michel Marcus_, Dec 03 2013

%Y Cf. A050972, A074902, A095301.

%K nonn

%O 1,1

%A _Eric W. Weisstein_