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a(n) = A289272(1+(2*A289271(n))).
5

%I #6 Jan 02 2019 11:55:16

%S 2,6,10,14,18,30,22,26,34,42,38,70,46,66,90,50,54,78,58,126,110,102,

%T 62,130,74,114,82,154,86,210,94,98,170,138,198,182,106,150,190,234,

%U 118,330,122,238,306,174,134,230,142,186,270,266,146,222,342,286,290,246,158,630,162,258,374,166,414,390,178,322,310,462,194,442,202

%N a(n) = A289272(1+(2*A289271(n))).

%H Antti Karttunen, <a href="/A322992/b322992.txt">Table of n, a(n) for n = 1..16384</a>

%F a(n) = A289272(1+(2*A289271(n))).

%o (PARI)

%o A322992(n) = A289272(1+(2*A289271(n)));

%o A289271(n) = { my(v=0,i=0,x=1); for(d=2,oo,if(n==1, return(v)); if(1==gcd(x,d)&&1==omega(d), if(!(n%d)&&1==gcd(d,n/d), v += 2^i; n /= d; x *= d); i++)); }; \\ After _Rémy Sigrist_'s program for A289271.

%o A289272(n) = { my(m=1, pp=1); while(n>0, pp++; while(!isprimepower(pp)||(gcd(pp,m)>1), pp++); if(n%2, m *= pp); n >>=1); (m); };

%Y Permutation of A016825.

%Y Cf. A289271, A289272, A322990, A322991.

%K nonn

%O 1,1

%A _Antti Karttunen_, Jan 01 2019