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A347956 Dirichlet convolution of A003602 with A069359.

%I A347956 #8 Oct 15 2021 21:38:03
%S A347956 0,1,1,3,1,8,1,7,5,11,1,22,1,14,13,15,1,35,1,31,16,20,1,50,8,23,20,40,
%T A347956 1,81,1,31,22,29,19,95,1,32,25,71,1,106,1,58,62,38,1,106,11,77,31,67,
%U A347956 1,134,25,92,34,47,1,217,1,50,78,63,28,156,1,85,40,151,1,215,1,59,95,94,28,181,1,151,74,65,1,286,34
%N A347956 Dirichlet convolution of A003602 with A069359.
%H A347956 Antti Karttunen, <a href="/A347956/b347956.txt">Table of n, a(n) for n = 1..16384</a>
%F A347956 a(n) = Sum_{d|n} A003602(d) * A069359(n/d).
%o A347956 (PARI)
%o A347956 A003602(n) = (1+(n>>valuation(n,2)))/2;
%o A347956 A069359(n) = (n*sumdiv(n, d, isprime(d)/d)); \\ From A069359
%o A347956 A347956(n) = sumdiv(n,d,A003602(d)*A069359(n/d));
%Y A347956 Cf. A003602, A069359.
%Y A347956 Cf. also A347954, A347955, A347957.
%K A347956 nonn
%O A347956 1,4
%A A347956 _Antti Karttunen_, Sep 20 2021