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A322020 a(n) = Product_{d|n, gcd(d,n/d) is a prime power} gcd(d,n/d). 2

%I #7 Nov 28 2018 20:59:08

%S 1,1,1,2,1,1,1,4,3,1,1,4,1,1,1,16,1,9,1,4,1,1,1,16,5,1,9,4,1,1,1,64,1,

%T 1,1,36,1,1,1,16,1,1,1,4,9,1,1,256,7,25,1,4,1,81,1,16,1,1,1,16,1,1,9,

%U 512,1,1,1,4,1,1,1,144,1,1,25,4,1,1,1,256,81,1,1,16,1,1,1,16,1,81,1,4,1,1,1,4096,1,49,9,100,1,1,1,16,1

%N a(n) = Product_{d|n, gcd(d,n/d) is a prime power} gcd(d,n/d).

%H Antti Karttunen, <a href="/A322020/b322020.txt">Table of n, a(n) for n = 1..16384</a>

%F a(n) = Product_{d|n} gcd(d,n/d)^A069513(gcd(d,n/d)).

%o (PARI) A322020(n) = { my(m=1,p); fordiv(n, d, p = gcd(d, n/d); if(isprimepower(p), m *= p)); m; };

%Y Cf. A069513, A294876, A295666.

%K nonn

%O 1,4

%A _Antti Karttunen_, Nov 28 2018

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Last modified August 20 20:44 EDT 2024. Contains 375339 sequences. (Running on oeis4.)