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Two different numbers a, b which satisfy sigma(a)=sigma(b)=(a+b)^3/(a^2+b^2) are called a rational amicable pair; sequence gives b numbers.
1

%I #12 Apr 19 2016 01:07:31

%S 30193441130006700,8764724625167659200,36178574818140873830400,

%T 9262775202028650907238400,148205251271326084281139200,

%U 2315711466905235330372675

%N Two different numbers a, b which satisfy sigma(a)=sigma(b)=(a+b)^3/(a^2+b^2) are called a rational amicable pair; sequence gives b numbers.

%C These are just the known values. There is no proof that this sequence is correct (in the usual sense that there are no other terms below the last term shown). - _N. J. A. Sloane_, Nov 07 2006

%C Factorization: 2^(n-1)*M(n)*3*5^2*13*31*139*277*3877*239 where M(n) is Mersenne Prime, n=3 or 5<n.

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

%Y Cf. A038362.

%K nonn,more

%O 1,1

%A _Yasutoshi Kohmoto_