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A259305 Numbers n such that there exists an x!=n that makes {x,x,x,n} an amicable multiset. 9

%I #13 Jul 21 2016 02:46:29

%S 756000,1220940,1437480,1973160,5019840,9058140,9703260,11058480,

%T 11641680,13085280,17089920,18117000,19370880,21282912,21628080,

%U 25295760,25585560,26936640,27763560,28191240,29104200,29203020,30450420,32839560,33279120,33398820

%N Numbers n such that there exists an x!=n that makes {x,x,x,n} an amicable multiset.

%C We call the multiset {x,x,x,n} amicable iff sigma(x)=sigma(n)=x+x+x+n.

%C For the x values, see A259304.

%C If the condition x!=n were dropped, the terms from A027687 would also belong here.

%H John Cerkan, <a href="/A259305/b259305.txt">Table of n, a(n) for n = 1..1000</a>

%o (PARI) isOK(n) = x=(sigma(n)-n)/3; x>0&x!=n&denominator(x)==1&sigma(x)==3*x+n

%Y Cf. A027687, A259307, A259304, A259302, A259303, A259306, A036471.

%K nonn

%O 1,1

%A _Jeppe Stig Nielsen_, Jun 23 2015

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