A324194 - OEIS

%I #7 Feb 19 2019 18:20:33

%S -1,0,1,-1,2,1,2,-1,3,1,6,0,5,1,2,-2,4,6,10,0,11,8,6,1,8,7,10,3,5,3,2,

%T -2,5,6,18,7,19,15,12,1,16,18,24,6,12,8,8,-1,11,15,22,6,19,14,12,3,8,

%U 5,12,1,6,4,2,-2,6,12,24,11,30,27,24,8,28,34,44,17,24,19,14,3,21,29,44,22,40,27,24,9,18,18,24,10,15,7,8,0,14,21

%N A000120-deficiency of n permuted by A163511: a(n) = A192895(A163511(n)).

%H Antti Karttunen, <a href="/A324194/b324194.txt">Table of n, a(n) for n = 0..16384</a>

%H Antti Karttunen, <a href="/A324194/a324194.txt">Data supplement: n, a(n) computed for n = 0..65537</a>

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%F a(n) = A192895(A163511(n)).

%F For n > 0, a(n) = A324114(A054429(n)).

%o (PARI)

%o A163511(n) = if(!n,1,my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));

%o A192895(n) = sumdiv(n, d, hammingweight(d)*(-1)^(d==n));

%o A324194(n) = A192895(A163511(n));

%Y Cf. A054429, A163511, A192895, A324114.

%Y Cf. also A324100, A324185.

%K sign

%O 0,5

%A _Antti Karttunen_, Feb 19 2019