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Dirichlet convolution of A246277 with itself.
4

%I #6 Jun 13 2018 09:12:21

%S 0,0,0,1,0,2,0,4,1,2,0,10,0,2,2,12,0,10,0,14,2,2,0,32,1,2,4,18,0,22,0,

%T 32,2,2,2,47,0,2,2,48,0,30,0,26,10,2,0,88,1,14,2,30,0,38,2,64,2,2,0,

%U 104,0,2,14,80,2,42,0,38,2,30,0,148,0,2,10,42,2,54,0,136,12,2,0,144,2,2,2,96,0,98,2,50,2,2,2,224,0,18,18,103,0,66,0,112,22

%N Dirichlet convolution of A246277 with itself.

%H Antti Karttunen, <a href="/A305796/b305796.txt">Table of n, a(n) for n = 1..65537</a>

%F a(n) = Sum_{d|n} A246277(d)*A246277(n/d).

%o (PARI)

%o A064989(n) = {my(f); f = factor(n); if((n>1 && f[1,1]==2), f[1,2] = 0); for (i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f)};

%o A246277(n) = { if(1==n, 0, while((n%2), n = A064989(n)); (n/2)); };

%o A305796(n) = sumdiv(n,d,A246277(d)*A246277(n/d));

%Y Cf. A246277, A305791, A305798.

%K nonn

%O 1,6

%A _Antti Karttunen_, Jun 13 2018