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Sum of divisors of n*rad(n)+1, where rad=A007947 (squarefree kernel).
5

%I #9 Jul 23 2013 13:24:33

%S 3,6,18,13,42,38,93,18,56,102,186,74,324,198,342,48,540,110,546,272,

%T 756,588,972,180,312,678,126,528,1266,972,1596,84,1980,1260,1842,256,

%U 2484,1842,2286,402,2613,2124,3534,1440,1281,2220,4536,307,660,672

%N Sum of divisors of n*rad(n)+1, where rad=A007947 (squarefree kernel).

%C a(n)=A000203(A078310(n)).

%H Reinhard Zumkeller, <a href="/A078318/b078318.txt">Table of n, a(n) for n = 1..10000</a>

%o (PARI) rad(n)=vecprod(factor(n)[,1])

%o a(n)=sigma(n*rad(n)+1) \\ _Charles R Greathouse IV_, Jul 09 2013

%o (Haskell)

%o a078318 = a000203 . a078310 -- _Reinhard Zumkeller_, Jul 23 2013

%Y Cf. A078317, A078319, A078320.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Nov 23 2002