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A076340 Real part of the function defined multiplicatively on the complex numbers by 2->(2,0) and p->((floor(p/4)+floor((p mod 4)/2))*4,2-(p mod 4)) for odd primes p. 13

%I

%S 1,2,4,4,4,8,8,8,15,8,12,16,12,16,17,16,16,30,20,16,31,24,24,32,15,24,

%T 52,32,28,34,32,32,47,32,33,60,36,40,49,32,40,62,44,48,68,48,48,64,63,

%U 30,65,48,52,104,49,64,79,56,60,68,60,64,112,64,47,94,68,64,95,66,72

%N Real part of the function defined multiplicatively on the complex numbers by 2->(2,0) and p->((floor(p/4)+floor((p mod 4)/2))*4,2-(p mod 4)) for odd primes p.

%C a(A000040(n))=A076342(n); a(A001358(n))=A076343(n); a(A000961(n))=A076345(n); a(A005117(n))=A076347(n); a(A000290(n))=A076349(n);

%C a(n)>0 for n<2187=3^7, a(2187)=-5816, A076341(2187)=-20047.

%e n=21: 21 = 3*7 = (4-1)*(8-1) = (4,-1)*(8,-1) -> (32-(-1)*(-1),-4+(-8)) = (31,-12), therefore a(21)=31, A076341(21)=-12;

%e n=35: 35 = 5*7 = (4+1)*(8-1) = (4,1)*(8,-1) -> (32-1*(-1),-4+8) = (33,4), therefore a(35)=33, A076341(35)=4.

%Y Imaginary part = A076341.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Oct 08 2002

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Last modified March 24 06:56 EDT 2019. Contains 321444 sequences. (Running on oeis4.)